27) Determine whether the following series converges: 1 1-4 (k-1)² k=4

Q: Decide whether the following series converges or diverges. (a) L n00 5n-2021n² , 7" 4"

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Q: 24313 1024 31a516

A: We will observe the pattern to find the value of p.

Q: A- Find the sum of the following series: 2n=0 2 ()" 2- Σ(- 1)" - (-1)"

A: A. 1. Given: ∑n=0∞215n The above equation can be written as: ∑n=0∞2·5-n Pull the constant out of the…

Q: q3 Determine if the series converges or diverges

A: Given: ∑n=2∞1n ln(n)

Q: Decide the convergence or divergence of the following series. ∑∞n=1 1/(22n+1) and ∑∞n=1…

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Q: 9. Use the alternating series test to determine whether 2(-1)"ne-" converges or diverges. n=1

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Q: Mark each series as convergent or divergent. 00 3 1. n5 – 36 n-3 In(n) 2. 5n 00 3 3. п(п + 4) n=1 00…

A: As per the guidelines we can solve 3 sub bits only

Q: Consider the series n=1 (2x)n n2

A: The objective of this question is to determine whether the given series converges or diverges for…

Q: 9: Show that the following series converges and find its sum. 1 (2k-1)²* k=1

A: Given series: ∑k=1∞12k-12 To check: The convergency of the series. To find:  Sum of the series.…

Q: Determine whether the series converges or diverges.

A: the given series ∑n=1∞(-1)n(nn+2) To test the series is convergent or divergent. We use the…

Q: 1 5. Determine whether the series S= >) converges or diverges and identify the test you used. (3n +…

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Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

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Q: 9. Consider the series ((a +5)/7 is the exponent of n.) For which values of a does this n(a+5)/*…

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Q: - Apply a test to determine whether the series 2 3" converges or diverges. n=1

A: We can use the ratio test here Since L>1 , so this series diverges.

Q: 4. Determine whether the alternating series n+ 4 E(-1)"+1 (n +1) (n + 2) n=1 converges or diverges.

A: 4 Given series is ∑n=1∞−1n+1n+4n+1n+2. We have to check whether the given series is converges or…

Q: 3. Determine whether the series converges. k +1 k²-2 k=1 (a) Converges (b) Diverges

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Q: Find the sum of the convergent series n2-3n+2 n=3

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Q: 00 2) 3) n3+5n²-17 n en n n=1 n =2

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Q: Q.4 - Determine whether the series converges, find its sum. converges or diverges. If it n=1

A: To determine whether the given series converges or diverges .  If it converges then to find the sum.…