Exponentials Meet Recurrences

★ 6/10Limits Recursion sequences Logarithms

Problem

A sequence $\{a_n\}$ satisfies

4^{a_{n+2}} + 4^{1 + a_{n+1}} - 12 \cdot 4^{a_n} = 0.

Find

\lim_{n \to +\infty} \frac{a_n}{n}.

Answer

Solution

Difficulty	6/10
Topics	Limits, Recursion, sequences, Logarithms

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