Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. NOTE: Enter the exact answer as improper fraction if necessary. 1 25k2 + 15k – 4 k=1 The series diverges.

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: Given series is,

Q: Determine whether the series converges, and if so find its sum. 1 2 9k? + 3k – 2

A: Given series is ∑k=1∞19k2+3k-2 To test the convergence and evaluate its sum

Q: Determine whether the series converges, and if so find its sum. 4k+5 7k-1 k=1 II

A: topic - sequence and series

Q: 4k+4 k=1 7h-1

A: The given series is ∑k=1∞4k+47k-1. We know sum of a geometric series of the form ∑n=1∞arn is,…

Q: 18 (b) (6n-1)(6n+5) n=D1

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

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Q: Determine whether the series converges or diverges. If it converges, find its sum. (-3)2n 10n+1 n=1

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (-7)"…

A: Given series is ∑n=1∞-7nn33n find whether the series converges or diverges

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

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Q: Determine whether the series converges or diverges. Š (-6)" n3 n = 1 8

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Q: Determine if the series converges. If it does, what is the sum of the series 00 2" + 1 3n

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Q: Determine whether the series converges, and if so find its sum. *WI

A: ∑k=3∞ 1k-2

Q: (2n)! 5n+1(n!)2 n=1

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: The given series is: ∑n=1∞4n+15-n We have to determine whether the series is convergent or…

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: We will apply the ratio test to figure out if the series is convergent or not. Let's take the ratio…

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: To determine whether the series convergence or divergence.

Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: Given series

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (-4)"…

A: We have to determine the convergence of the given series.

Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (n + 6)(n +…

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Q: Determine whether the series converges or diverges. If it is convergent, find the sum. (If the…

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Q: use thE formula for the sum of a geometric series to find the sum or state that the series diverges

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

A: We use the partial fractions to find the answer of the given question.

Q: 25 125 2+ 2 8 32 +

A: -2+52-258+12532-........ It is a geometric series with, First term=a=-2Common ratio=r=52-2=-54 Now,…

Q: Determine whether the series converges or diverges. If it is convergent, find the sum. 00 5" + 7"…

A: see 2nd and 3rd step.

Q: 1 2 (FF3 √k + 3 1 √k +2

A: The given problem is to check whether the given series is converges or diverges and also find the…

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

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Q: Evaluate the series or state that it diverges.

A: Given: S=∑k=1∞1356k+3579k for evaluating given summation, first we expand given summation so,…

Q: determine whether the series converges or diverges. If it is convergent, find the sum

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Q: Determine whether the series is convergent or divergent. k? k2 - 4k + 6 k = 1 convergent O divergent…

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Q: Determine whether the series converges, and if so find its sum. Σ 4k+2 7k-1 k=1

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Q: determine whether the series converges or diverges. If it is convergent, find the sum

A: The given series is in geometric progression so according to geometric series test if common ratio r…

Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that…

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Q: Vn+ n=1 n+3

A: The given series is  ∑n=1∞1n+! - 1n+3this can be qritten as,∑n=1∞1n+! - ∑n=1∞1n+3   the convergence…

Q: 5n2 n=17n³ – 2n

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Q: ,2 – 3k 86. 2 6* k=0

A: Check the convergence using ratio test,

Q: 4k+4 k=1 7k-1

A: Given: The series ∑k=1∞4k+47k-1, To determine: The sum of the series if it is convergent.

Q: Determine if the series below converges or diverges. If it converges, determine what to do.

A: Result used:

Q: 3. n²+3n

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Q: Determine whether the series converges or diverges. Σ -7 + 20 3" n = 1 O converges O diverges

A: Given series is convergent Option a is correct

Q: 2k+5 ニ k=1

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Q: Evaluate the series or state that it diverges.

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Q: Determine if the series converges absolutely, converges, or diverges. Σ (-1)h 6n1/3 + 1 n=1

A: We have to check the convergence of the alternating series.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: Given: ∑k=1∞(-1)k-11312k-1 We employ ratio test check its convergence, Ratio test L=limn→∞an+1an 1.…

Q: Determine if the series converges or diverges? If it converges find the sum. n-1 E 10 2. n=1 5.

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Q: 00 5h 12 n=2

A: Here, the given series is  ∑n=2∞5n12n

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We have to find the series is convergent or not and find the sum also.