Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. 1. 216 7776 Select the correct choice below and fill in any answer boxes within your choice. OA The series converges. The sum of the series is. (Type an integer or a simplified fraction.) OB. The series diverges.

Q: Find the sum of the geometric series. 4 n = 1 5/7

A: Consider the given geometric series. Find the first term a, the common ratio r and the number of the…

Q: n= 10, a,= 41, S,= 230

A:

Q: Determine whether the finite series is arithmetic, geometric, both or neither.  If the series is…

A:

Q: Find the sum of the infinite geometric series (if possible). -125, -25, -5, -1... 544 625 4 No Sum -…

A: -125,-25,-5,-1,............  a1=-125 a2=-25 a3=-5 Common ratio is given as r=a2a1=a3a2 r=-25-125…

Q: Determine the sum of the arithmetic series. t1=9, d=4, n=17.

A: Given data is : t1=9d=4n=17 To determine the sum of the arithmetic series.

Q: Find the sum of the first 5 terms of the geometric series. 8 – 16 + 32 – ... 87 86 88 89

A: We have to solve

Q: Write .565656.. as a fraction. (Use the sum of a geometric series)

A:

Q: Find the sum of the first 8 terms of the geometric series 256, 128, 64, 32,...

A: The geometric series is 256, 128, 64, 32,.....

Q: Find the sum of the infinite geometric series. n Σ (3) n = 1 Χ

A: given

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.