Find the sum of the first 25 terms of a geometric sequence where the first term is 177,147 and the common ratio is - 1/3

Question

Mathematics

Damian Johns

22 December, 08:01

Find the sum of the first 25 terms of a geometric sequence where the first term is 177,147 and the common ratio is - 1/3

+4

Answers (1)

Know the Answer?

Charlie Lyons · Answer 1

132860 to nearest whole number.

Step-by-step explanation:

Sum of n terms = a1. (r^n - 1) / (r - 1).

S25 = 177,147 ((-1/3) ^25 - 1) / (-1/3 - 1)

= 177,147 * - 1 / - 4/3

= 132860.