mathematical unduction
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Use mathematical unduction to prove the squared version of:
1 + 2 + 3 + ... + n = n(n+1) / 2
which is
1^2 + 2^2 + ... + n^2 = [n(n+1)(2n+1)] / 6
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Solution Summary
The expert demonstrate mathematical unduction.
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For all n 1, prove that
1^2+2^2+3^2+4^2+⋯+ n^2=(n(n+1)(2n+1))/6.
Solution:
We use Mathematical Induction to establish the truth value of some mathematical statements.
The axiom, called Induction axiom, used is, if {P(n): n is a natural number} is a set of statements. ...
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