Question

Can some one explain please

Answer 1

D

Explanation:

The sum to infinity of a geometric sequence is calculated as

`S_(infinity)` =
`(a)/(1-r)` | r | < 1

where a is the first term and r the common ratio

Here a = 1 and r =
`(1)/(5)` , thus

`S_(infinity)` =
`(1)/(1-(1)/(5) )` =
`(1)/((4)/(5) )` =
`(5)/(4)` → D