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

Answer:

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

$Sum=\frac{a}{1-r}$

The given series is

$a_i=5(\frac{1}{2})^i$

Here, $a=5,r=\frac{1}{2}$.

The sum of given series is  

$Sum=\frac{5}{1-\frac{1}{2}}$

$\frac{x}{1024}=\frac{5}{\frac{1}{2}}$

$\frac{x}{1024}=10$

$x=10240$

Therefore value x is 10240.