a1=-2,a7=-8192,r=-4

Q: Find the sum of the series -3 -3 + 4 -3 -3 + +. + +. - 16 4"-1 Answer:

A: Sum of an infinite GP series:

Q: 4. ABCD is a rectangle and AC = 7.5. Find DE. * C E A Your answer 15. Classify the quadrilateral…

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Q: What is the formula for a geometric series?

A: nth teram formula for geometric progressionan=arn-1where a is the first term and r be the common…

Q: What is the value of d in the arithmetic series 8 +b + c + d + e +... if the sum of the first 87…

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Q: 2- In an arithmetic series of 50 terms, the 17th term is 53 and the 28th term is 86. Determine, a, d…

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Q: 5. Distinguish between a sequence and a series. Use both words and examples to make this…

A: Distinguish between a sequence and a series:

Q: - 12,800, 6,400, - 3,200, 1,600, ..... Select one:

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Q: 1. What's an infinite series that can "sum" to 1?

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Q: For the arithmetic series 35+ 32 +29, determine the value of S5.

A: In this question, we want to find the value of S5 for the given arithmetic series.

Q: ат — — 309, п 3 30 19, ат

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Q: II.) Show your solution completely. 1. What is the 30th term of the Fibonacci number? (2 points) 2.…

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Q: 25. Σ(3n+5) nel

A: Given: ∑n=113 3n+5 Substituting the value of n=1, 2, 3...., we get ∑n=113 3n+5=3×1+5=8∑n=113…

Q: What number should come next in the series? 2/5, 3/7, 11/17, 13/19,

A: Sequence: It is an ordered set of numbers that follows some particular pattern.  Patterns can be all…

Q: 1. Find a1 for each arithmetic series. S8 = 440 and d = 6 S30= 240 and d = -2

A: See this solution in below.

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: Find the sum of the first 100 terms in the arithmetic series 1+2+ 3+4 + ... + 100.

A: To find the sum of first 100 terms of given arithmetic  series.

Q: The series: E ne-n? пе n=1

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Q: Find s12 for the series 2 + 8 + 32 + 128 + …

A: ? Answer is  11,184,810

Q: For the series 3 + 6 + 12 + 24 +…, S11

A: Let us consider the geometric sequence  a,ar,ar2,....... n terms  where a is first term and r is…

Q: Given the formula, S n =a 1-r^ n 1-r what is the sum of the first nine terms of the geometric series…

A: Note: The geometric series has to be 324, -108, 36, -12,....., Otherwise there will be no common…

Q: Find the sum of each geometric series. S5; a1 = 6, r = 3 S6; a1 = 8, r = S6 1 3.

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Q: What is the sum of the first 30 terms of this arithmetic series? - 5, - 2, 1, 4, .... Select one:…

A: We can find the sum of the first 30 terms of this arithmetic series in the following steps.