Question

The sum of the series 5(1/2)^i is x/1024 Then x =

Answer 1

I just got this question. I think the answer is 5.

Answer 2

The value x is 10240.

Step-by-step explanation:

The sum of the series 5(1/2)^i is x/1024.

The sum of an infinite series
`a_n=ar^n` is

`Sum=(a)/(1-r)`

The given series is

`a_i=5((1)/(2))^i`

Here,
`a=5,r=(1)/(2)`.

The sum of given series is

`Sum=(5)/(1-(1)/(2))`

`(x)/(1024)=(5)/((1)/(2))`

`(x)/(1024)=10`

`x=10240`

Therefore value x is 10240.