Prove by induction on n that, for Positive integers n, n [Σ₁. 16¹] = 6 (5n6"-6" + 1) 25

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Mathematical induction: Polynomial Induction. Show step by step how to prove this induction question. Write the steps neatly please.
Prove by induction on n that, for
Positive integers n,
n
[Σ₁ 16²] =
6 (5n6"-6" + 1)
25
Transcribed Image Text:Prove by induction on n that, for Positive integers n, n [Σ₁ 16²] = 6 (5n6"-6" + 1) 25
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