Determine if the geometric series converges or diverges. If a series converges, find its sum. 2 1 + 1 + 4 1 + + ... 3 3 Select the correct choice below, and fill in any answer boxes in your choice. O A. 1 2 1 1 + 4 + +... = 3 3 (Simplify your answer.) B. The series diverges.

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A: See the attachment

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Q: Determine whether the infinite geometric series converges or diverges. If it converges, find its…

A: The sum of the series is given below

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A: Calculate for the root test as, L=limk→∞3k+36kk1k=limk→∞3+3k6=36=12 Since, limit is |L|<1

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A: topic - geometric progreesion

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Q: AWhat is the third term of the series n2"? Select one: O 2 O 17 10 34 None of these

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Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 2 4 1 +- + 5…

A: Given geometry series has common ratio less than one so we can say that it converges

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Q: ne whether or not the following series converge or diverge. Show your work ain your reasoning. 00 2n…

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Q: Which of the following is the correct formula to find the sum of the finite geometric series below?…

A: Given series:- 2+2/3+2/9...+2/36

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Q: Evaluate the geometric series or state that it diverges. 00 6 Σ 7m m=2 ..... Select the correct…

A: We have to find

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Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

A: We will use sum and condition for sum of infinite GP ( geometric progression ) a+ar…

Q: * 4" – 3" (a) If the series, converges, what is its sum? 5" n=0

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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.

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 3 4 4 +…

A: The series is of the form∑n=0∞45nsince 45<1 By geometric test ∑n=0∞45n  converges

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A: To evaluate the series.

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A: For the solution follow the next step.

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Q: Determine whether the infinite geometric series converges or diverges. If it converges, find its su…

A: We know that a geometric series 1+x+x2+x3+x4+........ is convergent if the common ratio x satisfy…

Q: 10 is %3D The sum of an arithmetic series where a = -5, d= , and n = A) -50.8 B) 40 C) 50.8 D) -41

A: Here a=-5 and d=15 and n=10

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A: First term= a= 1 Common ratio= 2/3

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A: To evaluate the value of the series, ∑k=1∞1514k+3516k, split the series. Pull the constants, 15 and…

Q: 4" – 3" a) If the series, E 5" converges, what is its sum? n=0

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

Q: For the infinite geometric series below, does the series converge or diverge? 100, - 150, 225, -…

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A: ∑n=0∞ 4n-16n =∑n=0∞ 4n6n-16n =∑n=0∞ 23n-16n =∑n=0∞ 23n-∑n=0∞ 16n

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Q: 14. Decide if each infinite geometric series is convergent or divergent. State the sum of the…

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Q: Determine whether the infinite geometric series converges or diverges. If it converges, find its…

A: Given: ∑k=1∞149k-1 Formula Used: Ratio test for series ∑n=1∞anL=limn→∞an+1anL<1 ⇒series…

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 10 1+ 11 10…

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Q: Determine whether the infinite geometric series converges or diverges. If it converges, find its…

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