gence of the series. 8 n-1 (2) Σ+1 n=1 00

Q: For the following series, apply either the Geometric or p-Series Tests, where appropriate. 15 (2) Σ…

A: The given series,(a) (b) (c) (d) The objective is to check the convergence of the series by using…

Q: 9 E-2 ·(-2)"-1 n=1

A: ∑n=19-2·-2n-1

Q: Find the sum of the series below. Σ n=1 32n (2n-1)² (2n + 1)² The sum of the series is

A:

Q: Find the sum of the series below. 8n Σ n=1 (2n - 1)2(2n + 12 The sum of the series is

A: Form the series as differen of two terms and write them one by one than add to get the final result.

Q: Find the sum of the series. Σ 5(-1)"72n + 1 32n + 1(2n + 1)! n = 0

A:

Q: Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson…

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Q: Find the sum of the series. e -8x² Σ (−1)n 87x6n n = 0 n! X

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Q: Write the series using summation notation. -3 + 4 - 5+6-7 Σ i i=1

A: Given series is Let the nth term of the series is  then, In general, for n=1,2,3,4,5, we have

Q: 25 6x(-2)* k31

A:

Q: Given the power series 00 2 A x(n + 3) n = 0 1. Force the Exponent "n + 3" to be "R" like we did in…

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Q: Find the sum of the series. Σ (-1) 40x8n n! n = 0

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Q: 100 dk=1 le -2k

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Q: 1 Σ (k +3)(k + 4) k=1

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Q: Find the sum of the series. (-1)^72n Σ 42n(2n)! n = 0

A:

Q: 4 Σ (2n – 1)(2n + 1) n = 1 Find the sum of the series

A: