Recursion 2

Algebra Level pending

Let \( a_{0}=1\), \( a_{1}=2 \) and \( a_{n}=2 \times a_{n-1} \) be an \( n^{\text{th}} \) term of a sequence where \( n>1 \) and let

\[ S=\sum_{n=0}^{20} {a_{n}}\]

Compute \(S \bmod {2015} \).

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