A Sum With a Hidden Trap

★ 7/10Extrema Recursion algebra sequences

Problem

A sequence $\{a_n\}$ has $a_1 = 2$ and

6S_n = 3a_{n+1} + 4^n - 1,

where $S_n$ is the partial sum. Find the maximum value of $S_n$ .

Answer

Solution

Difficulty	7/10
Topics	Extrema, Recursion, algebra, sequences

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