Review question

# When does the sum of this series equal $60$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8121

## Suggestion

Which positive integer $n$ satisfies the equation $\frac{3}{n^3}+\frac{4}{n^3}+\frac{5}{n^3}+\dotsb +\frac{n^3-5}{n^3}+\frac{n^3-4}{n^3}+\frac{n^3-3}{n^3}=60?$

What type of sequence do we have on the left hand side of the equation? How many terms are there in the sequence?