What's the next number in the sequence?

[Whiterose7]

2, 10, 202...

And please explain how you got your answer.

[vlee1225]

What's the next number in the sequence?

2, 10, 202..
start with 2
next term = 2(2^2 + 1) = 10
next term = 2 (10^2 + 1) = 202
then 2 (202^2 + 1)= 81610

if a(n) is the nth erm
the (n+1)th term is
a(n+1) = 2 (a(n)^2 +1)