14. The sum of a geometric series where a = 4,r= 2, and n = 5 is a. 124 b. 62 c. -124 d. 128

Q: For the geometric series 100 - 50 + 25 - ..., calculate t10 and s10

A: We have find the 10 th term and sum of 10 terms of given geometric series.

Q: Evaluate each infinite geometric series. -13극+9-64. 15.

A:

Q: 2. Find the fif th termof the + Ap-2 sequence. an=nan-l foR defined by, a, =2 ag=ろ a 152 6) 162 O172…

A: Given, a1 = -2 a2 = 3  an = nan-1 +an-2                 for         n≥3 We have to find the fifth…

Q: 313. Let fn stand for the nth term of the Fibonacci sequence. What is remarkable about the sequence…

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Q: Find the sum of the first 9 terms of the following sequence. Round to the nearest hundredth if…

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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: 6. +.. Find S9. 4 + 12 + 36

A: Solve for the S9

Q: -. The general formula for a sequence is tn = 2tn-1-n, where t₁ = -7. Find the third term

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Q: A geometric sequence is a sequence of numbers where each successive number is the product of the…

A: Step 1: Given geometric sequence is: 21​,−61​,181​,−541​,1621​,...In a geometric sequence, each…

Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: The objective of the question is to express the given repeating decimal number 15.0225825825825...…

Q: Find the sum of the first 36 terms of the sequence:-0.2+0.3+0.8+ O A. 318.6 B. 332.2 O C. 307.8 O D.…

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Q: Use the sequence 2,6, 10, 14, . for the next set of problems. A. Is this arithmetic or geometric? B.…

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Q: 2. Do the same for the following (after expressing it in the form of a geometric series): 3 + ...…

A: Given that: A geometric series-    18+182+183+184+...

Q: What is the sum of infinite terms for the series 81,-27,9,-3, - 20.25 -20.25 -60.75 D. 60.75 O A OB…

A: Given that the series81,-27, 9,-3, ...common ratio (r)=-2781=-13here |r|<1

Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: We need to write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the…

Q: Find the sum of each of the following series.

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Q: Question 6 3 Find the sum of the series: 5k k 3 1 a) 50 b) 100 9. 100 9. d) 200 3 50 3.

A: we observe that the given series is a geometric series as every term is a fixed times its previous…