What is the rule for the given sequence and give the next two terms in the sequence?. 2, 5, 17, 65, 257

Step-by-step explanation:

2,5,17,65,257

1^2 + 1, 2^2 + 1, 4^2 + 1, 8^2 + 1, 16^2 + 1

This series follow above sequences.

So next term of this series,

= 32^2 + 1

= 1024 + 1

= 1025.

Hope it's helpful to u.