5. In the geometric series 18, -12, 8 which term is 512/729.

Q: 81 now that the following series is a geometric series ... 10 46 100 一

A: The series is 85+65+910+2740+81160+...The marked one are the mistakes in the sequence, have…

Q: The sum of the geometric series 2 7(0.7 )n is n=0

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Q: 1 1 -2, 2' Find the sum of each of the geometric series 37268

A: Solution Question 2 Given, The geometric series  -2, 12, -18, .....,-137268 We have to find the sum…

Q: Find the sum of the indefinite geometric series: 2()" e) None of these b) 3 O a.) O b.) OC) O d.) O…

A:

Q: If the third term in the geometric series 2 ar" is 4, then the product of the first five terms…

A:

Q: Consider the series k0.3 k=1

A: Given series, ∑k=1∞1k0.3use the integral test we have to determine whether the series converges or…

Q: Find the sum S of the alternating infinite geometric series

A: The sum of infinite geometric series with condition on common ratio r<1 is given by S=a1-r where…

Q: Find 21st term of series 13,16,19

A: Given problem:- Find 21st term of series 13,16,19

Q: Find the sum of the geometric series 26. (0.9)"-1

A: Given,             ∑n=1∞6·0.9n-1

Q: Find the sum of the infinite geometric series 1, 5, Ā 2 4

A:

Q: For what values of n will the infinite series (2n-1) + (2n-1)² + ...+ (2n-1)i +... Have a finite…

A: Given infinite series is: S = (2n-1) + (2n-1)² + ...... + (2n-1)i +......

Q: 9) Use your answer to the previous problem to evaluate the infinite series D ()". 100

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Q: Find the sum of the geometric series . k=2 ^ 52 9(-1)^ k-1

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Q: E(-3)(3)*-1 %3D

A: The geometric series is given by ∑k=18-33k-1 To evaluate : The sum of the geometric series.

Q: 8, If the third term in the geometric series 2 ar" is 4, then the product of the first five terms n…

A:

Q: Find the sum of the infinite geometric series. Σ 2 5.6 · 0.5"-1 n = 1 S =

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Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the first term of the infinite geometric series. S = 54, r = a1 1/2

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Q: Write out the first 5 terms of the series E(- 1)"- n=1 n =1 n25n

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Q: - "(a, +a,) ifoesn odi bat ot roielunlso oiriqg e oal S = 1-r 8 (1-r') Use and = 2 1-r and to find:…

A: Here the given series is a geometric series with common ratio greater than one. So we use the second…

Q: Find the sum of the first 8 terms of the geometric series: 1-3+9 – 27..

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Q: Find the sum of the infinite geometric series 13. k-1 k = 1 S =

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Q: Find the sum of the first 10 terms of the geometric series: a1 = 1, r = 2, n = 10

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Q: 27.1-) is the sum of the first n terms of a series. The 4" term of the series is: A. 16 B.-8 C.- 15…

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Q: Given the geometric series 4+20+100+500+2500+12,500 which can be used to find the sum of the first…

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Q: 2n Question 1: If the nth partial sum of the series a, is S, find: n+1 a) Ča, . Ъ) а,-

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 4. Find the sum of the geometric series 3-3/2+3/4-3/8+3/16 - ..

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Q: 8. Show that 0.22 = (Use the infinite geometric series method)

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Q: Find the sum of the infinite geometric series if it exists.1.5 + 0.015 + 0.00015 +....

A: G.P SeriesA Series, in which each term is found by multiplying the preivous term by a fixed…

Q: Σ Suppose that an = -1 and ) b, 9 and a1 = -8 and b, = - 6, find the sum of the n=1 n=1 series:…

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Q: Find S, for the geometric series 4+12+36+--

A: The given geometric series is 4+12+36+⋯ Formula used: Sn=a(1-rn)1-r

Q: The following geometric series 7. (-1)", 5n

A: ∑n=1∞ -1n·75n here we have an=75n an is positive and monotone decreasing from n=1 now find the…

Q: 5) /3

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Q: (a) Find the sum of the finite geometric series: 2 + 6+ 18 + ..+ 13, 122

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Q: Find the sum of the geometric series 40-20+10-5+…s6

A: As we know that the expression for the sum of the nth term geometric series: sn=arn-1r-1 Where, 'a'…

Q: The following geometric series 7 (-1)"+1, 5n n=1

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Q: Find the Geometric Series a1 = -1, r = 3, n 9

A: Given a1=-1, r=3 & n=9we know that sum of n-terms in geometric series is sn=a1(rn-1)r-1…

Q: 1. Find the sum for the first 30th terms of the following series 2.4+4 6+6-8+.

A: Given the series is

Q: Evaluate the geometric series 7. 1- 1 24.5m-1 m 1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Find the sum for the first 30th terms of the following series 2.4+4·6+6 · 8+ · · .

A: We will use basic knowledge of series and summations to solve this question.

Q: 12. Find the sum of the geometric series 2+6+ 18 +- + 13, 122 by using the correct formulas.

A:

Q: Write out the first 5 terms of the power series (3)" n! n=0

A: The solution for the above question is as shown below.

Q: Let, {an} = -5, 10, -20, 40, . . . , {bn} = 10, -5, -20, -35, . . . , and {cn} = -2, 1, - 1/2, 1/4 ,…

A: Given that, {an} = -5, 10, -20, 40, . . . First 6 terms of the sequence {an} are: -5, 10, -20, 40,…

Q: 1. How many terms of the arithmetic series 2,8,14,20,... are required to give a sum of 660?

A:

Q: 4. The first three terms of a geometric series are 2x, x-8 and 2x+5 respectively. Find the possible…

A: →Let a0 , a1 , a2 are in GP , then          a1  a0 =  a2a1 →Roots of quadratic equation ax2 + bx +c…

Q: 15 Find the sum for the arithmetic series E16k - 4. k = 1

A: NOTE: Refresh your page if you can't see any equations. . here the given series is  take n=1

Q: 72-1 b) En=1an for an 5. )** 00 %3D

A: