Determine whether the series converges; if so, find its sum. If the series diverges, indicate that with the checkbox. NOTE: Enter the exact answer as improper fraction if necessary. 13 12 =10 - 12k 13k 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 given geometric series converges or diverges. If it converges, find its sum.…

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Q: Determine whether the series converges or diverges. If it converges, find the sum. 3" -1 (Hint: The…

A: Given: S=∑n=1∞3n-15n for finding given summation, we expand given summation by putting value of…

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 is convergent or divergent. If it is convergent, find its sum. (If the…

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

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: The…

A: Let us consider an alternating  series ∑n=1∞(-1)nan The series is convergent if,  limn→∞an=0 an is…

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, and if so find its sum. 4k+2 Σ 7メー1 k=1

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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 is convergent or divergent. If it is convergent, find its sum. (If the…

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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 converges, to what value does it converge?

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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: 4n – n - Determine whether the series converges or diverges. n² + 3" n=1

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Q: 1 Σ 16k? + 8k – 3 k=0

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Q: 2 -+ 8 25 16 + 125 32 625

A: To find the Sum and  Convergence of the given series ,

Q: Evaluate the series or state that it diverges.

A: Given that : The series ∑k =0∞  116k2 + 8k - 3 . First factoring the denominator term,…

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

A: Leibnitz test: If the alternative series, u1 - u2 + u3 – u4 + … (un > 0, for all n) is such that

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

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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 is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: Determine whether the series converges. If it does, find the sum: SUMMATION from n = 0 to infinity…

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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 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: 5n2 n=17n³ – 2n

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent: 00…

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Q: ΣΕ 1 \24 k=1 2k+1

A: Given : ∑k=1∞12k - 12k+1

Q: Determine if the series converges or diverges. n2 Σ (n + 3)?n n = 1 8.

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

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

A: In the given geometric series, we find out common ratio 'r' To find out common ratio , divide the…

Q: Evaluate the telescoping series or state whether the series diverges. (If the quantity diverges,…

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

A: Result used:

Q: Determine if the series converges or diverges. If the series converges, find its sum. Σ (4n - 1)(4n…

A: Series is convergent and the sum is 1/6

Q: Determine whether this series is convergent or divergent by first expressing it as telescoping…

A: Given:-∑n=1∞32/n-32/(n+2) telescoping series :    ∑n=1∞32/n-32/(n+2)=limN→∞…

Q: sinn 3" n=1

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Q: Determine whether the following geometric series converges or diverges, and if it converges, find…

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Q: (Зп)! 33п п! (п + 1)! (п + 3)! n=1

A: We determine whether the series diverges or converges.

Q: Evaluate the series or state that it diverges.

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Q: 2 -l n² -1 5.

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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: 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.