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

Q: Find the sum of the series. 00 2 (-1n-1_2 n=1 zn

A:

Q: (- 1)"9"-3 (2n + 1)! Find the sum of the series: | 0=u

A:

Q: x + 9x² 27x³ 81x4 + + 5 7 9 A. Un = B. Un = C. Un = D. Un = The general term un for the series is…

A: We want to find general term of given series.

Q: 8*+2 11k–1 k=1 The series diverges ||

A: Given problem:-       To find:- Given series divergent or convergent and find its sum

Q: Σ 32n (2n – 1)²(2n + 1)2 n=1 8.

A: Given: ∑n=1∞32n2n-122n+12

Q: Quiz 2: (1) Find the sum of the series 1 1 (d) In (n +2) In(n +1), 1 1 () E e3n-5 3m-2

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: Write the series using summation notation. 4 + 8+ 12 + 16 + 20 +... + 80 20 54 20 4i i 1

A: If you like the solution then please give it a thumbs up.. The Answer is:     Result =   ∑i=1204i…

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

A:

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

A: The explanation of the solution as follows:

Q: Find a simple expression for the sum of the series in (a). BWT n=1 3n 2:31.

A: We have given sum of seriesWe have to find simple expression for the series

Q: Find the sum of the convergent series. 00 Σ η = 1 8 gn2 + 3n - 2

A: According to question,Given Series,∑n=1∞ 89n2+3n-2

Q: Find the sum of the series. 1 + ח2,"(1-)5 Σ 22n + 1(2n n = 0 + 1)!

A: We have,   It is known that,

Q: (– 1)"(:)* 2n +1 n-1 Find the sum of the series: n=0

A: The series of tan-1x is: tan-1x=∑n=0∞(-1)nx2n+12n+1 Now, the given series is:…

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: 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: 1 Σ ak-1 k(k+ 1)(k + 2)

A: Given: ∑k=1∞1k(k+1)(k+2)

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

A:

Q: Find the sum of the series. ∞ (−1)n 2nx2n n!   n = 0

A:

Q: The sum of the geometric series Two (n=2 4n+1 n=0 5n-2 is

A:

Q: 1 Σ 16k? + 8k – 3 k=0

A:

Q: (2 +n

A:

Q: Use the table of frequently used Taylor series to find the sum of the series. 2 3 4 5 X -X +X -X…

A:

Q: (-1)k +1 The series E is 'k = 1 2k

A: We should know leibniz rule to solve this problem. Let's see statement of Leibniz rule.

Q: The sum of the geometric series Σ=o 4n+1 52-2 is 100 O 500 O 200 O 400 O None of them O

A: