Question

What is the sum of the first five terms of a geometric series with a sub 1 = 6 and r = 1/3?

Express your answer as an improper fraction in lowest terms without using spaces.

Answer 1

ok so the sum of a geometric series is

\[s_{5} = \frac{6 \times (1 - (\frac{1}{3})^5}{1 - \frac{1}{3}}\]

just evaluate it

Answer 2

that looks so complicated @campbell_st

Answer 3

@campbell_st 322 over 81?

Answer 4

I got 242/27