Question

To find the partial Sun of this series Ev100 n=1

Answer 1

There two formulaes for getting the sum of a series.

If the common ratio, r < 1, we use

$S_n=\text{ }\frac{a(1-r^n)}{1-r}$

This is to ensure that we don't get a negative term in the bracket.

As r = 1/2 in less than 1 as in our case, we apply this formula.

If otherwise, we use:

$S_n=\text{ }\frac{a(r^n-1)}{r-1}$

Thus our answer is TRUE