Answer :

Let P(n) = 1+.

P(1) is true

Let P (k) be true.

P(k) = 1+

To Prove P(K+1) is true using P(k) Lies

1+

= ……… (1)

L.H.S of (1)

=

Taking L.c.M

=

=

= =

= 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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