Question

What is the sum of the infinite geometric series? -3-3/2-3/4-3/8-3/16-....

Answer 1

Answer:

- 6

Step-by-step explanation:

The sum to infinity of a geometric series is calculated as

S( infinity ) = $\frac{a}{1-r}$

where a is the first term and r the common ratio

Here a = - 3 and r = - $\frac{3}{2}$ ÷ - 3 = $\frac{1}{2}$, thus

S( infinity ) = $\frac{-3}{1-\frac{1}{2} }$ = $\frac{-3}{\frac{1}{2} }$ = - 6

Answer 2

Answer:

s infinite =-6

Step-by-step explanation: