Question

In GP find 1 + `1/2`+ `1/4` + ... up to 5 terms.

विकल्प

• `1 16/15`

• `2 15/16`

• `1 15/16`

• `2 16/15`

Answer 1

`1 15/16`
Explanations:
a = 1, r = `((1/2))/1 = 1/2`, n = 5
Here, r < 1.
Hence, S₅ =  `("a"(1-r^n))/(1-r)=(1[1-(1/2)^5])/((1-1/2))`
= `((1 - 1/32))/((1/2)) = ((31/32))/((1/2))= 31/16 = 1 15/16`