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If a(1)=3 and a(n)=2a(n-1)+5, find a(4)....

If `a_(1)=3 and a_(n)=2a_(n-1)+5`, find `a_(4)`.

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To solve the problem, we need to find the value of \( a_4 \) given the recursive formula \( a_n = 2a_{n-1} + 5 \) and the initial condition \( a_1 = 3 \). ### Step-by-Step Solution: 1. **Identify the initial condition**: We know that \( a_1 = 3 \). 2. **Calculate \( a_2 \)**: ...
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