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Please do part c):

Using the Principle of Mathematical Induction, prove that each of the following statements $P_{n}$ is true for every non-negative integer $n$. (a) $(ab)_{n}=a_{n}b_{n}$, where $a$ and $b$ are real numbers. (b) $1?21?+2?31?+3?41?+…+(n+1)(n+2)1?=n+2n+1?$ (c) $1_{2}+2_{2}+3_{2}+?+n_{2}=6n(n+1)(2n+1)?$

Solution Let P(n) be the statement such thatP(n