Question

Using mathematical induction prove n n 1 n 5 i s divisible by 6

Answer 1

Answer:

Assume P(k) is true:

K(k+1)(k+5)=6m [multiple of 6]

Consider P(k+1)=( k+1) (k+2)( k+6)

=k(k+1)(k+2)+6(k+1)(k+2)………split (k+6)

=6n+6(….)…………………………………………….k(k+1)(k+2) product of 3 consecutive no’s is

divisible by 6

Answer 2

Answer:

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