Question

PLEASE HELP 25 POINTS!!!

Answer 1

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

$\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}$

Identify following

• a1 = 2

• r = 1/2

Solve:

$\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }$

$\rightarrow \sf S \infty \ =4$

The sum of this infinity series is 4