Question

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

• A. x<-10
• B. -10<x<0
• C. 0<x<10
• D. x>10

Answer 1

The correct option is C

0<x<10

5 = $\frac{x}{1-r}$ ⇒ r = $\frac{5-x}{5}$

∴ - 1 < $\frac{5-x}{5}$ < 1 ⇒ x ∈ (0, 10)