Question

What is the sum of the geometric series below?

3+1+1/3+1/9+1/27

Answer 1

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Explanation:

Answer 2

Explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

`Sum = (a(1-r^(n)))/(1-r)`

`= (3*(1-((1)/(3))^(5))/(1-(1)/(3))\\\\=(3*(1-(1)/(243)))/((2)/(3))\\\\=(3*(242)/(243))/((2)/(3))\\\\=3*(242)/(243)*(3)/(2)\\\\=(121)/(27)\\\\=4 (13)/(27)`