Answer :
P(1) is true
Let us assume P(k) is true
= (k+1)2.
To prove P(k+1) is true using P(k)
P(k+1) =
= (k+2)2…………(1)
L.H.S of (1)
= (k+1)2
= (k+2)2
Which is the R.H.s of ……………. (1)
P(K+1) is true.
By the Principle of mathematical induction, P(n) is true for all values of n where n N
Hence proved.
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