Using the principle of mathematical induction prove that:. nintD(nt 5)

1.	Using the principle of mathematical induction prove that:. nintD(nt 5) is a multiple of 6 See Solved ix
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 therefore it is true for all natural nos Thnx

Using the principle of mathematical induction prove that:. nintD(nt 5) is a multiple of 6 See Solved ix

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

therefore it is true for all natural nos

Thnx