Prove by using the principle of mathemtical induction: ` 1+2+3+…+n =(n(n+1))/2

Prove by using the principle of mathemtical induction: 3.2^2 +3 . 2^3+…+3^n .2^(n+1) = 12/5 (6^n-1)

Prove by using principle of mathematical induction :2^(n)<3^(n),n in N

Prove by using the principle of mathematical induction that for all n in N, 10^(n)+3.4^(n+2)+5 is divisible by 9

Prove the following by the principle of mathematical induction: 1+2+3++n=(n(n+1))/(2)ie,the sum o the first n natural numbers is (n(n+1))/(2)

Prove the following by using the Principle of mathematical induction AA n in N and n>1 1+(1)/(4)+(1)/(9)+…….+(1)/(n^(2))<2-(1)/(n)

Prove the following by using the Principle of mathematical induction AA n in N n^(3)+(n+1)^(3)+(n+2)^(3) is a multiple of 9.

Prove the following by using the principle of mathematical induction. n(n+1)+1 is an odd natural number, n in N .

Prove the following by using the Principle of mathematical induction AA n in N 3^(n)>2^(n)

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

Prove the following by using the principle of mathematical induction for all n in Nvdots(1)/(1.2.3)+(1)/(2.3.4)+(1)/(3.4.5)+...+(1)/(n(n+1)(n+2))=(n(n+3))/(4(n+1)(n+2))