Q11 of 104 Page 488

The sum of an infinite geometric series is 6. If its first term is 2, find its common ratio.

Given:, a=2

To find:r=?

∴

⇒

⇒ 3(1-r)=1

⇒ 3-3r=1

⇒ 3r=3-1

⇒ r

Common ratio r

Write the value of in the form of a simple fraction.

The sum of an infinite geometric series is 20, and the sum of the squares of these terms is 100. Find the series.

The sum of an infinite GP is 57, and the sum of their cubes is 9747. Find the GP.