Review question

# When does the sum of this series first exceed $2999/4000$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7487

## Question

Find the sum of $n$ terms of the geometric progression $\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\dotsb.$ [If a general formula is used, it must first be proved.]

Deduce the sum to infinity of this series.

Find the least number of terms of the series which must be taken for their sum to exceed $\dfrac{2999}{4000}$.