First Problem

Algebra Level pending

Let \(a_1,a_2,a_3,\ldots\) be a sequence of numbers such that \(a_1 = 2\) and it follows a recurrence relation \(a_{n+1} = a_n +2^{n+1} + 1 \). Find the value of \( a_{1918} \bmod{100} \).

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