An infinite G.P has first term x and sum 5 then x belongs to ?

Options

A. `xlt-10`
B. `-10ltxlt0`
C. `0ltxlt10`
D. `xlt10`

Answer

C

Explanation

Sum of an infinite G.P. with first term x and common ratio `r(lt1)` is
`s=(x)/(1-r)`
Form question s=5
then, `5=(x)/(1-r)`
`1-r=(x)/(5)`
`r=1-(x)/(5)`
For,` -1lt1-(x)/(5)lt1`
`-2lt-(x)/(5)lt0`
`0ltxlt10`