Question

PLEASE HELP 25 POINTS!!!

Answer 1

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

Step-by-step explanation:

Here Given Sum to Infinity

`\sf S \infty \ =a_1 \ x \ (1)/(1-r)`

Identify following

• a1 = 2

• r = 1/2

Solve:

`\rightarrow \sf S \infty \ =2 \ x \ (1)/(1-(1)/(2) )`

`\rightarrow \sf S \infty \ =4`

The sum of this infinity series is 4