4. The first three terms of a geometric series are 2x, x-8 and 2x+5 respectively. Find the possible values of x. (AE

Q: b. Find the sums of the following infinite geometric series , if i-1 it exists T, 4 (%)

A: Infinite series problem.....

Q: If the repeating decimal 0.42424242 is written as an infinite geometric series, where a is the first…

A: The given repeated decimal is: n=0.42424242 It can also be written as,…

Q: Find the sum of the terms of a series 2n-1 2"

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Q: If the third term in the geometric series 2 ar" is 4 , then the product of the first five terms n =0…

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Q: 2. (a) Write the repeated decimal as a geometric series in summation notation and then use your…

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Q: Evaluate the infinite geometric series described. i-1 12) i = 1 -2

A: Given: The infinite geometric series, ∑i=1∞-2·-14i-1.

Q: 35. Find the sum of the following geometric series. A. Does not exist B. -12, 258 Σ -3(2)'-¹ C.…

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Q: 9 E-2 ·(-2)"-1 n=1

A: ∑n=19-2·-2n-1

Q: 1. The first three terms of a geometric series are 2x, x-8 and 2x+5 respectively. Find the possible…

A: Using, geometric series

Q: Find the sum of the arithmetic series in w 3, and n = 20.

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Q: By writing the summation of the three power series E nCx" +EC„x"-2+ £G,"-, we obtaln: O None of them…

A: Here we will 1st convert every series in such manner that every one will have same power of x in…

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

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Q: Find the sum of the first 7 terms for the geometric series: +1+3+9+..

A: The sum of a geometric series having n terms, with first term a and common ratio r, is given by:…

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: Since the series can be rewritten in the form k-1 43 k=1 it is a geometric series with: = 1 r = 4/7

A: ∵  Givn that  ∑k=1∞ 4347k-1 Geometric series: The sum of an infinite geometric series is expressed…

Q: If the repeating decimal 0.42424242 is written as an infinite geometric series, where a is the first…

A: This question is based on Geometric progression.

Q: b. Find the sum of the geometric series 12 n=0 8 If we were to sum the above series to infinity,…

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

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Q: is a constant. . If |r| < 1, the sum of the geometric series E ark-1 is k=1

A: Known fact: ∑k=0∞ a rk=a1-r       provided r&lt;1.

Q: Write the first three terms of the infinite geometric series that satisfy the condition: r = -1/2, S…

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

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Q: Find the sum of the first 6 terms of the given geometric series: -2-4-8-16.. O -146 -139 O 2 O -126

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Q: Suppose that5. an is an infinite Series with Patial Sum 7-2 n:1 16 what are the values of S an and…

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Q: Find the sum of the infinite geometric series. n-1 E 9- ()" -26 O-27 27 -31

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Q: If the third term in the geometric series Larn is -108 and the sixth term is 32 then the ratio of n…

A: We have to find the ratio of given geometric series.

Q: 5. The sum of the first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is…

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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 nth term of the given infinite series for which n= 1, 2, 3, ... 1 1 +... 2x6 3x7 4x8 5x9 an…

A: Given 12×6-13×7+14×8-15×9+.....n is from 1,2,......... to infinity

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

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Q: 36. Find the sum of the following infinite geometric series. A. Does not exist B. 3 C. Σ(3) k=1 1/3…

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Q: Which of the following are geometric series? Σ 6" 29" n=0 3" n=0 00 E (67)-"

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Q: Find the sum of the first n terms for the geometric series. 3-6+12-24., n=D6

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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: If the third term in the geometric series 2 ar" is 4, then the product of the first five terms n = 0…

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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: What is the exact value of the series from k=2 to 100 of (2/(k-1))-(2/(k+1))?

A: Distribute the sum with the two parts.

Q: Find the sum of the 3rd through 14th terms of the series. A (n) = 4(3)"-1 Sum

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Q: 17. For a geometric series, What are the first three terms of the series if the first term is 3? 17

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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: 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: Which one is the sum of the geometric series 1 00 n= O 2 O 3 | 2 O Divergent 3/4

A: The sum of an infinite geometric series is given by, Sn=∑n=0∞arn=a1-r if r&lt;1 a is the first term…

Q: 1 Use the identity Σ to express the function as a geometric series in the indicated term. %3D 1 - y…

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Q: Question 2 Evaluate the related series for the sequence: -3 – 6– 12 – 24..., n=9 Sn = Blank 1 %3D

A: We find Sn for n=9 ,that is S9 for given Geometric series.

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

A: The general meaning of geometric series is the ratio of the two subsequent terms will be the same.…

Q: 1. Find the first four terms and the (n + 1)th term of the series whose nth term is: (-1)*-1, (2n)!

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

Q: Evaluate the given infinite geometric series described as 3+2+ + ...

A: This question is related to Geometric series, we will solve it using given information.

Q: What is the general expression for the ?th term of the series -4/3+9/5-16/7+25/9-36/11

A: The given series:-43+95-167+259-3611+...We need write the general expression for the nth term of the…