# 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

×