Home
Class 11
MATHS
Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N`:`1. 2 + 2. 3 + 3. 4 + dot dot dot + n(n + 1)=[(n(n+1)(n+2))/3]`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 :- (2n+7) < (n + 3)^2.

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 : (2n+7)<(n+3)^2 .

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

Prove the following by using the principle of mathematical induction for all n in N : 1. 2. 3 + 2. 3. 4 + .. . + n(n + 1) (n + 2)=(n(n+1)(n+2)(n+3))/4

Prove the following by using the principle of mathematical induction for all n in N 1+2+3+…….+n lt 1/8 (2n+1)^2

Prove the following by using the principle of mathematical induction for all n in N : 1 + 2 + 3 + ... + n <1/8(2n+1)^2 .

Prove the following by using the principle of mathematical induction for all n in N :- 1 +2 + 3 +...+n < 1/8(2n+1)^2 .

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