This Sum Is That; That Sum Is This
Algebra
Level
4
For distinct numbers \(p\) and \(q\), consider an arithmetic progression such that
- the sum of the first \(p\) terms is equal to \(q\), and
- the sum of the first \(q\) terms is equal to \(p\).
What is the sum of the first \(p+ q\) terms?
by
Sunny Dhondkar