# Happy Diwali!

**Algebra**Level 5

Suppose that \(s_{n}\) represent \(s_{1},s_{2},s_{3},......\) an strictly increasing sequence of positive integers such that the sub sequences

\[\Large{s_{s_{1}}, s_{s_{2}}, s_{s_{3}}, ........ \qquad and \qquad s_{s_{1}+1}, s_{s_{2}+1}, s_{s_{3}+1},......}\]

are in Arithmetic Progression, Then \(s_{n}\) are in:-

*Happy And Prosperous Diwali to all*