Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N`
n(n+1)(n+5) is a multiple of 3

PRINCIPLE OF MATHEMATICAL INDUCTION
KUMAR PRAKASHAN|Exercise PRACTICE WORK|20 Videos
PRINCIPLE OF MATHEMATICAL INDUCTION
KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|10 Videos
PERMUTATIONS AND COMBINATIONS
KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

Similar Questions

Explore conceptually related problems

Prove the following by using the principle of mathematical induction for all n in N 3^n gt 2^n

Prove the following by using the principle of mathematical induction for all n in N 41^n - 14^n is a multiple of 27.

Prove the following by using the principle of mathematical induction for all n in N (2n+7) lt (n+3)^2

Prove the following by using the principle of mathematical induction for all n in N (1+x)^n lt= (1+nx)

Prove the following by using the principle of mathematical induction for all n in N (2n+1) lt 2^n , n >= 3

Prove the following by using the principle of mathematical induction for all n in N n(n+1)(2n+1) is divisble by 6.

Prove the following by using the principle of mathematical induction for all n in N 4+8 + 12 + …….+4n = 2n (n+1)

Prove the following by using the principle of mathematical induction for all n in N 2^(3n) - 1 is divisible by 7.

Prove the following by using the principle of mathematical induction for all n in N 7^n - 3^n is divisible by 4.

Prove the following by using the principle of mathematical induction for all n in N 10^(2n-1) + 1 is divisible by 11.