Solved: Prove each statement in 69 using mathematical induction. Do not derive them from
Chapter 5, Problem 9(choose chapter or problem)
Prove each statement in 6–9 using mathematical induction. Do not derive them from Theorem 5.2.2 or Theorem 5.2.3.
For all integers n ≥ 3,
\(4^{3}+4^{4}+4^{5}+\cdots+4^{n}=\frac{4\left(4^{n}-16\right)}{3}\).
Text Transcription:
4^3 + 4^4 + 4^5 + cdots + 4^n = 4(4^n - 16) / 3
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