Question

What is the sum of an infinite geometric series if a1 = 5 and r = 1⁄3?

Answer 1

Answer:

C

Step-by-step explanation:

The sum to infinity of a geometric series is

$\frac{a_{1} }{1-r}$ ( - 1 < r < 1 ) ← substitute values

S( ∞ ) = $\frac{5}{1-\frac{1}{3} }$ = $\frac{5}{\frac{2}{3} }$ = $\frac{15}{2}$