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{ }(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{ }(a(r^n-1))/(r-1)`

Thus our answer is TRUE