4. Prove the following by mathematical induction. η Σ i=1 = n(n + 1)(2n + 1) 6

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Can anyone please help me with question 4 please? I’m stuck on it!
c. {p.(q-p),(-qV p)}
4. Prove the following by mathematical induction.
n
Σ ;².
i=1
=
n(n + 1)(2n + 1)
6
5. Prove the following by mathematical induction: n! > 2" for all integers n ≥ 4.
Transcribed Image Text:c. {p.(q-p),(-qV p)} 4. Prove the following by mathematical induction. n Σ ;². i=1 = n(n + 1)(2n + 1) 6 5. Prove the following by mathematical induction: n! > 2" for all integers n ≥ 4.
q=php
4. Prove the following by mathematical induction.
n
i=1
,2
n(n + 1)(2n + 1)
5. Prove the following by mathematical induction: n! > 2" for all integers n ≥ 4.
Transcribed Image Text:q=php 4. Prove the following by mathematical induction. n i=1 ,2 n(n + 1)(2n + 1) 5. Prove the following by mathematical induction: n! > 2" for all integers n ≥ 4.
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