Recursive sequence
Algebra
Level
4
We define a recursive sequence of natural numbers such that \(a_{1}=2\) and \(a_{n+1}=3a_{n}+2\) for \(n\geq1\). Find \[\frac{[2\sum_{n=1}^{100}a_{n}]+200}{a_{100}}\].
The problem is original.
by
Shivam Jadhav