Question 42
Suppose $m$ and $n$ are positive integers for which
- the sum of the first $m$ multiples of $n$ is $120$, and
- the sum of the first $m^{3}$ multiples of $n^{3}$ is $4032000$.
Determine the sum of the first $m^{2}$ multiples of $n^{2}$.
- the sum of the first $m$ multiples of $n$ is $120$, and
- the sum of the first $m^{3}$ multiples of $n^{3}$ is $4032000$.
Determine the sum of the first $m^{2}$ multiples of $n^{2}$.