Question

Find the sum of the infinite geometric series with a first term of 5 and r = 5/6.

Answer 1

Find the sum of the infinite geometric series with a first term of 5 and r = 5/6.

In this problem we have

a1=5

r=5/6

so

the formula to calculate the sum of the infinite geometric series is equal to

$S=\frac{a1}{1-r}$

substitute given values

$S=\frac{5}{1-\frac{5}{6}}$$S=\frac{5}{\frac{1}{6}}$$S=30$

answer is 30