the 5th term in a geometric sequence is 160the 5th term in a geometric sequence is 160

11. A: topic - geometric sequence Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2 In this case, multiplying the previous term in the sequence by 2 - 2 gives the next term. How do you find sum of geometric series 5+20+80++ 20480? What is the common ratio of the geometric sequence 7, 28, 112,? How do you write the first five terms of the geometric sequence #a_1=3, r=sqrt5#? WebIf the 5th term in a geometric sequence is 160 and the 7th term is 40, the common ratio can be calculated by dividing the 7th term by the 5th term. How do you find the geometric means in each sequence #-2, __, __, __, __, -243/16#? What is the 10th term of this geometric sequence 1, 2, 4, 8, ? Webthe 5th term in a geometric sequence is 160. For 3, 9, 27, the common ratio is 3 because: 3 X 3 = 9. How do you find the 10th term in the geometric sequence 2,6,18,54,162,? WebThe first term of a geometric sequence is 3, and the third term is -. WebSuppose you wrote a geometric series to find the sum of the heights of the rebounds of the ball. 50 C. 12 D. 0.625; Find the indicated term of the geometric sequence. How do you find the common ratio of #3,6,12,24,#? The nth term of a geometric sequence is: a = 8; r = -5. The 7th term is 40. \end{align*} How do you find the fifth term? What is the 7th term of the geometric sequence where a1 = -2 and a5 = -512? WebWhat is the fifth term of the sequence whose first term is 10 and whose common ratio is 0.5 A. Where an is the nth term, a1 is first term r is the common ratio and n is the position or number of the term. This is a geometric sequence since there is a common ratio between each term. find the fifth term of the geometric sequence: a=-10 r=2. a 6 = a 5 * q = 160 * q WebFind the four missing terms of the geometric sequence between -5 and 160. 91. verified. How do you find #a_7# for the geometric sequence #1/32, 1/16, 1/8,#? Geometric Sequence: r = 2 r = 2. May 12, 2020 6:41pm UTC, URL WebAlgebra. 160 B. How do you find the next two terms of the geometric sequence #20, 30, 45,#? What is a13? 1 B.1/2 C.1/4 D.1/8 5. Common ratio (r) would be ratio of second term to first term i.e. To get the fourth term, we go in reverse of this process. Simplifying the left-hand side, we get $r^2=\frac{1}{4}$, which means $r=\pm\frac{1}{2}$. The common difference can be determined using the formula, where WebThe sum of a finite geometric sequence formula is used to find the sum of the first n terms of a geometric sequence. If the first number is the sequence is 83, what is the last number? How do you write an nth term rule for #6,-30,150,-750,# and find #a_6#? How do you find #a_9# for the geometric sequence #60, 30, 15, #? How do you find two geometric means between 5 and 135? Which of the following classifies the sequence? How do you write the explicit formula for the following geometric sequence: -0.1, 0.03, -0.009, 0.0027, -0.00081, ? May 19, 2014 9:00pm UTC, URL https://questions.llc/questions/1998748/the-5th-term-in-a-geometric-system-is-160-the-7th-term-is-40-what-are-the-possible. Whats the missing term in the geometric sequence 3/4, __, 3? How do you find the common ratio of the geometric sequence 7,-14,28,-56? So, the sum of all terms is a/(1 r) = 128. How do you find the next three terms in the geometric sequence 9, -3, 1, , ? See here for a video: What are the next three terms of the sequence 1, -3, 9, -27,? How do you find the next two terms of the geometric sequence #5/2, 5/3, 10/9, #? In this case, multiplying the previous term in the sequence by 1 2 1 2 gives the next term. Explanation: Given that the first term of the geometric sequence is 15. What will its worth be after 3 years? How do you find the 4th, 5th, 6th, and 7th term of the geometric sequence 7, 21, 63? A. How do you write the first five terms of the geometric sequence #a_1=6, a_(k+1)=-3/2a_k# and determine the common ratio and write the nth term of the sequence as a function of n? What is the eighth term of the geometric sequence whose first three terms are 3, 6 and 12? WebExample One: Find the fifth term of a geometric sequence if the second term is 12 and the third term is 18. A number/value in a sequence Learn how to find the nth term of a geometric sequence. How do you find the sum of the infinite geometric series, a(1)= -5, r= 1/6? The second and the fifth terms of a geometric sequence are 15 and 405, respectively. Find the 5th Term -5 , 10 , -20. WebFind the sixth term of a geometric sequence in which a_1 = -7 and r = 3. What is the first term in the sequence? The 7th term is 40. What is the 8th term of the geometric sequence where a1 = 256 and a3 = 16? How do you find the geometric means in each sequence #1/24, __, __, __, 54#? How do you use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term? Example 1. But thinking about that argument is futile, as you would never, ever encounter a sequence such as that in questions. #7,1, 1/7, 1/49# - the common ratio is 1/7. First term in the geometric sequence: a = 5. n-th term T n in the geometric sequence is given by the formula: T n = ar n-1 where r is the common ratio. WebClick hereto get an answer to your question The first term of a geometric sequence is 10 and the fifth term is 160 . How do you find nth term rule for r=-2 and #a_1=6#? )7th, the 5th term in a geometric sequence is 160. What are common mistakes students make with geometric sequences? When the terms of a geometric progression are selected at the intervals, then the new series is also geometric. What is the 7th term of the geometric sequence where a1 = 1,024 and a4 = -16? How do you write the expression for the nth term of the geometric sequence #a_2=3, a_5=3/64, n=1#? B. How do you find the next two terms of the geometric sequence #1.4, -3.5, 8.75,#? WebIf the 5th term in a geometric sequence is 162, and the common ratio is 3. WebSolution. In other words, an = a1rn1 a n = a 1 r n - 1. ; What is the 20th term of the sequence that begins -3,6,-12,24? How do you write the expression for the nth term of the geometric sequence #a_1=5, r=3/2, n=8#? 5, 10, 20, 40, 80, .? What is the sum of the geometric sequence -1, 6, -36, if there are 7 terms? ApusApus. Just follow these steps: Determine the value of r. You can use the geometric formula to create a system of two formulas to find r: or. 10 terms. A link to the app was sent to your phone. A. Determine (a) the possible values for r. (b) the value for the first term in the sequence if < 0 (i.e. A woman made $35,000 during the first year of her new job at city hall. In this case, multiplying the previous term in the sequence by 4 4 gives the next term. The formula for a geometric sequence is #an = 1000(0.5)^(n-1)# what is the 3rd term of the sequence? D. 4. How do you find the first five terms of the geometric sequence #a_1=576#, r=-1/2? What is the sequence of the diagonals of a polygon? A Geometric Sequence has 3rd term of 12 and 5th term of 48. How do you find the missing terms in the geometric sequence 32, __, 72, __, 162? (1 point) 70 70 +80 80 18. How do you find #a_6# for the geometric sequence #540, 90, 15,#? Consider a geometric sequence with n terms whose first term is 'a' and common ratio is 'r'. How do you find the geometric mean for the pair of numbers: 1/12 , 1/18? How do you find the next three terms in the geometric sequence -16, 4, , , ? pn-1 A. The first term of the sequence is 0.75. WebThe formulas applied by this arithmetic sequence calculator can be written as explained below while the following conventions are made: - the initial term of the arithmetic progression is marked with a 1; - the step/common difference is marked with d; - the nth term of the sequence is a n; - the number of terms in the arithmetic progression is n; 108 terms. The first term of a geometric sequence is 1 0 and the fifth term is 1 6 0. How do you find the number of terms in the following geometric series: 100 + 99 + 98.01 + + 36.97? A. Here a1 = 8 and r = 5. For 5th term, n = 5. How do you determine whether the sequence #3, 12, 48, 192,# is geometric and if it is, what is the common ratio? Saying "the nth term" means you can calculate the value in position n, allowing you to find any number in the sequence. 3. (1 point) Ż (21+1) na 240 255 210 510 19. The common ratio in this case is 40/160 = 1/4. Answer by josgarithmetic(38612) (Show Source): You can put this solution on YOUR website! What is the next number in this geometric sequence -3.24, 9.72, -29.16, 87.48? 45 C. 21 D. 28 ---- treas to answer the question that follows. So, 160 = 5r 5. What is the 5th term in the following geometric sequence 2, -14, 98, -686? How do you write a recursive formula for the sequence 1, 2, 3/2, 4/6, 5/24? Geometric Sequence: r = 2 r = - 2. How do you write the explicit formula for the sequence -1, 0.1, -0.01, 0.001,? The common ratio of a geometric sequence, denoted by #r# , is obtained by dividing a term by its preceding term. Find the sum of a geometric series for which a1=6,an=96, and r=2. Given 5, 11, 17, 23,, which term number is 485? We are asked to find the possible values of 6th term of the sequence. Under what circumstances does the infinite series #1+(2x/3)+(2x/3)^2+(2x/3)^3+# converge and what is the sum when #x=1.2# ? How do you find the sum of the first 12 terms of 4 + 12 + 36 + 108 + ? What is the 6th term of this geometric sequence 1, 7, 49, 343, ? Algebra questions and answers. How do you use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 6 and the 8th term is 216? A certain bacterial culture doubles in number every hour. Let the first term be $a$ and the common ratio be $r$. Get free access to expert answers. How do you find the sum of the first 30 positive multiples of 3? The formula for the nth term of a geometric sequence is a_n = a_1 * r^(n-1), where a_1 is the first term of the sequence, a_n is the nth term of the sequence, and r is the common ratio. 36 B. How do you find nth term rule for #375,-75,15,-3,.#? Geometric Sequence: r = 4 r = 4. The common ratio is obtained by dividing the current term by the previous term. How do you write the expression for the nth term of the geometric sequence #a_4=-18, a_7=2/3, n=6#? How do you identify 19th term of a geometric sequence where a1 = 14 and a9 = 358.80? How do you find the Nth term in the geometric sequence where the first term is 3 and the fourth term is #6sqrt2#? Please give the answers and solutions for each. To get the 6th term, we multiply the fifth term by the common ratio. What will its worth be after 5 years? How do I find the equation of a geometric sequence? The formula for nth term is given as . A geometric sequence is defined by the explicit formula #a_n = 3(-5)^(n-1)#, what is the recursive formula for the nth term of this sequence? The first three terms of a geometric series are #5, 15, 45#. How do you find the eighth term of a geometric sequence in which A1= -7 and r= -2? How do you find the nth term rule for 1,2,4,8,16,32,64? How do you prove that arithmetic mean, geometric mean and harmonic mean of two numbers are in geometric sequence? How do you find nth term rule for #1,3,9,27,#? How do you find the first five terms in the geometric sequence which is such that the sum of the 1st and 3rd terms is 50, and the sum of the 2nd and 4th terms is 150? In other words, . How do you find the common ratio of #136,68,34,17,#? We have been given that the 5th term in a geometric sequence is 160. This is a geometric sequence since there is a common ratio between each term. How do you find the three integers? How do you write the first five terms of the geometric sequence with the first term a1 and common ratio r a1=5 , r = -1/2? Whereas if a = 400.641 - then the 10th term would therefore be 400.641 (-0.5^9) = -0.782501953125 - which is clearly NOT the correct result. ( 6 votes) Upvote. #1, 2, 4, 8, \cdots# - the common ratio is 2. 1. WebThe fundamental insight that originally led to the creation of this formula probably started with the observation that the sum of the first term and last term in an arithmetic series is always the same as the sum of the 2nd and 2nd-to-last, 3rd and 3rd-to-last, etc. If we set n = 6, we get. How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_3=-28, r=7/3#? How do you find the explicit formula for a geometric sequence 9,19, 39,79,159,? https://questions.llc/questions/1060839/the-5th-term-in-a-geometric-sequence-is-160-the-7th-term-is-40-what-are-the-possible, Created What are the possible values of the 6th term in the sequence? How do you find a formula for the nth term of the geometric sequence: 8, 12, 18, 27, ? Geometric Sequence: r = 4 r = 4. How do I find the first term of a geometric sequence? How do you identify the 8th term of the geometric sequence -2, -12, -72 ? How do you find #a_9# for the geometric sequence #1/5, 1, 5,#? The first term of a geometric sequence is 160, and the common ratio is 0.5. How do you write an nth term rule for #a_2=-30# and #a_5=3750#? If the 5th term in a geometric sequence is 160 and the 7th term is 40, the common ratio can be calculated by dividing the 7th term by the 5th term. What are the possible values of the 6th term of the sequence, The 16th term of an AP is three times the 5th term. They even have a nifty bit of notation - the exclamation mark. How do you write a geometric sequence with a common ratio of 2/3? This is the form of a geometric sequence. Thus the fourth term is 27, and the fifth term must be 81/2. After each year it is worth half what it was the previous year. an Dr an1 or an an1 Dr: Again, in this case it is relatively easy to nd a formula for the nth term: an Da0rn. After each year it is worth half what it was the previous year. Is 31,250 a term of this sequence? How do you find the Geometric formula for this sequence 1/3,1/9,1/27,1/81? How do you write the first five terms of the geometric sequence #a_1=5, r=2x#? In a geometric sequence, ratio of each term to its immediately preceding term is always constant and is known as common ratio.. WebThis is a geometric sequence since there is a common ratio between each term. What is the 6th term of the geometric sequence 4, 20, 100,? That lies in its very definition: there is a common ratio between successive terms of the geometric sequence. How do you write a rule for the nth term of the geometric sequence and then find #a_5# given #a_3=-144, r=0.5#? ar^4&=160 \\ What is the tenth term of the geometric sequence with a4 = 16 and r = 2? WebWhat are the geometric means between these terms? For example, if the 5th term of a geometric sequence is 64 and the 10th term is 2, you can find the 15th term. What is the convergence radius for the series #sum_(r=0)^oo((x+1)/3)^r# ? Other sets by this creator. What is a possible value for the missing term of the geometric sequence 1250,__,50,..? The formula for a geometric sequence is #an = 2(4)^(n-1)# what is the 3rd term of the sequence? A geometric sequence is defined recursively by #a_n = 6a_(n -1)#. 13 terms. How do you find the next two terms of the geometric sequence #1.25, -1.5, 1.8,#? (How). Web5 5 , 10 10 , 20 20 , 40 40. How do you write an equation for the nth term of the geometric sequence #36,12,4#? What is the fifth term of a sequence whose first term is 5 and whose common ratio is 3? an = a1rn1. URL How do you find the indicated term of the geometric sequence where #a_4=16#, r=0.5, n=8? How do you find the 10th term in the geometric sequence 25, 5, 1, 0.2, ? The first term of a geometric sequence is 5 and the sixth term is 160. The 3rd term and 9th term of a G.P are 54 and 39,366 respectively.Find the:6th term,sum of the 4th and 7th term and product of. In this case, multiplying the previous term in the sequence by 4 4 gives the next term. A geometric sequence is defined recursively by #a_n= 4a_(n-1)#, and the first term of the sequence is 0.5, how do you find the explicit formula? 50 C. 12 D. 0.625; In this case, multiplying the previous term in the sequence by gives the next term. How do you write a rule for the nth term of the geometric sequence given the two terms #a_4=351, a_7=13#? What is the 6th term of this geometric sequence 3, 9, 27, 81, ? Is the sequence -24, 12, 6 a geometric sequence? What is the geometric sequence for #3, 6, 12, 24, #? 5, 10, 15, 20, 25, . What is the common ratio if the first two terms of a geometric series are 1/3 + 1/9 + ? F 80 G 40 H 160 J 24 9. Consider the sequence -2, -4, -8, -16, how do you find the 8th term of the sequence? The 7 th term is 40 . How do you find the common ratio of the geometric sequence 135, 45, 15, 5? What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125? We have the following system of equations: How do you find #a_7# if #a_n=12(1/2)^(n-1)#? How do you identify the 15th term of the geometric sequence 52, 39, 29.25 ? Use now a1 = 5 and r = 2 and n = 15 in the formula. WebThe yearly salary values described form a geometric sequence because they change by a constant factor each year. WebThe 2nd term of a geometric sequence is 6, and the 5th term is 162. If # f(1) = 10# , what is # f(3 #)? What is the common ratio in this geometric sequence 3, 18, 108, 648, 3888, ? 17 terms. How do you find the common ratio of #1,4,16,64,#? What is the 15th term of the geometric sequence 52, 39, 29.25 ? 160 B. Get 3 free question credits; Claim How do you find the explicit formula and calculate term 20 for 3, 9 , 27, 81, 243? Factorial(n) = n! What is the 7th term of the geometric sequence where a1 = 4 and a5 = 1,024? Zeeshan I. How do you find the common ratio for #10,5,5/2,5/4,5/8,#? How do you write an nth term rule for #r=8# and #a_1=-2#? How do you write a rule for the nth term of the geometric sequence, then find a6 given 5, -5/3, 5/9, -5/27, ? How do I find the common ratio of a geometric sequence? How do you write the expression for the nth term of the geometric sequence #a_1=16, a_4=27/4, n=3#? How do you find the next two terms of the geometric sequence #81, 108, 144,#? What is the nth term of the arithmetic sequence 121,99,77,55? If a town having a population 5000 in 1971 has a 20 percent increase every 5 years, what is its expected population in the year 2001? It is given that the 6th term in the sequence is 160. What is the 32nd term of the arithmetic sequence where a1 = 14 and a13 = -58? What is the missing term in the geometric sequence 6, 24, ?, 384, 1536, ? How do you write a rule for the nth term of the geometric sequence, then find a6 given 2, 14, 98, 686,? What is the common ratio? The 5th term:= 243 3, 9 , 27, 81 The above sequence is identified as a geometric sequence because a common ratio is maintained throughout the sequence.