#Resolve by means of mathematical induction

13 messages · Page 1 of 1 (latest)

graceful spear
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1⁴+2⁴+3⁴....+n⁴=n(n+1)(2n+1)(3n²+3n-1)/30

icy ventureBOT
graceful spear
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n being a natural intenger different from zero

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<@&286206848099549185>

obtuse gate
graceful spear
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Ok wait a second

bronze agate
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i’d start by expanding the right side

graceful spear
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Where do I go from here how do I prove this relation

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?

obtuse gate
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You could divide by (k+1) and multiply by 30

lone oasis
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You can try to expand (k+1)^5-k^5 and sum this expression