. Use the summation properties and rules to evaluate each series. (6 points) n(n+1)(2n+1) Summation Rules: ²₁1 = n; Σ²₁ i = n(n+1) 2 ; Σ=1 Find the sum: ₁(31² - 6i + 12) 15 =1 Sn, i2 =

Q: Find the sum of the series. Co ∑ (-1)7-12 n=1 1 O 74 7|3 1 3 M

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Q: Find the sum of the series. 8!!! Σ 40n n=1 (2n-1)²(2n + 1)² The sum of the series is

A: A telescoping series is a series in which every element except for first and last term is cancelled.

Q: Find the summation of E3º 12(2r + 5) r3D12

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Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: Find the sum of the following series 1 1 + n=1 4h

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Q: 2n + 3" ind the sum of the series:

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Q: Find the sum of the series. 5 + 7 +13 +31 + 85 +

A: A

Q: (a) Find the common difference of the arithmetic series: 10 + 14 + 18+... +3602+3606 d = (b)…

A: In an arithmetic series given ==as a1+a2+a3+.......+an+.... Common difference d is given as: d =…

Q: n E(-2²+2i+2n² + 2n) = i=4

A: Here we will use the concept of summation of n numbers. We will use the formula of sum of n^2 and n…

Q: Find the sum of the series. 7(-1)",2n 2n + 1, + 1 1(2n + 1)! 8

A: Given: ∑n=0∞7-1nπ2n+132n+12n+1!

Q: 3 n=0 1 3" 2 5"

A:

Q: Find the sum of the series: n=3 3n+2 57-3

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Q: 4n Find the sum of the series: n!

A: we have to calculate sum

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

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Q: Find the surface area of revolution about the x-axis of y = 5 sin(6x) over the interval 0 < x <…

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Q: Find the sum of the series: )) 23n – 2 п! n=0

A: