Let \(a_n\) denote the \(n^\text{th}\) term of an infinite sequence in which the terms are not all the the same. Is it possible that \(\{a_n\}\) can be both an arithmetic progression and a geometric progression?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!