Question

Write a recursive formula for the following sequences. 2, 5, 26, 677...

Answer 1

a₁ = 2

aₙ = (aₙ-1) X (aₙ-1) + 1

Explanation:

If we see a₁ = 2.

a₂ = 5,

a₃ = 26. and so on.

This sequence is neither arithmetic nor geometric. It does, however,

have a pattern of development based upon each previous term.