State whether the following proof (by mathematical induction) is true or false for the statement.

Question 1

P(n): 12 + 22 + ... + n2 =(n(n+1)(2n+1))/6

Question 2

By the Principle of Mathematical induction, P(n) is true for n = 1,

Again for some k ≥ 1,

Now we prove that

Solution False

Since in the inductive step both the inductive hypothesis and what is to be proved are wrong.

kratos · Answer 1 · 2020-11-24T08:56:32+0000

By the Principle of Mathematical induction, P(n) is true for n = 1,

Again for some k ≥ 1,

Now we prove that

Solution False

Since in the inductive step both the inductive hypothesis and what is to be proved are wrong.

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