Let $a_k = 5a_{k-1}$ and $a_0=11$ Prove using mathematical induction that the closed form for this sequence is $a_n = 11\cdot 5^n$. Please help I'm confused.
2026-04-13 15:40:09.1776094809
Help with closed form math induction
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Basis step: $a_0 = 11 = 11\cdot 5^0$.
Induction step. Assume for a particular $n$ that $a_n = 11\cdot 5^n$. Then $a_{n+1} = ?$