#1**0 **

This is a geometric series with first term 1 and common ratio 61. Since the absolute value of the common ratio is less than 1, the

series converges.

We can compute the sum of a geometric series using the following formula:

S=1−ra1

where a1 is the first term and r is the common ratio.

In this case, we have a1=1 and r=61, so the sum of the series is:

S = 1/(1 - 1/6) = 1/(5/6) = 6/5.

Pythagorearn Apr 28, 2024