Prove by the principle of mathematical induction, that
`3xx6+6xx9+9xx12+....+(3n)xx(3n+3)=3n(n+1)(n+2)`

Prove the following by using the principle of mathematical induction for all n in N 3 xx 6 + 6 xx 9 + 9 xx 12 + …..+ (3n)(3n+3) = 3n(n+1)(n+2)

Prove by the principle of mathematical induction that for all n in N:1+4+7+...+(3n-2)=(1)/(2)n(3n-1)

Prove by the principle of mathematical induction that for all n in N : 1+4+7++(3n-2)=1/2n(3n-1)

Prove by the principle of mathematical induction that 1+4+7+…..+(3n-2)=1/2n(3n-1),AA n in N .

Prove the following by using the Principle of mathematical induction AA n in N 3.6+6.9+9.12+……+3n(3n+3)=3n(n+1)(n+2)

Prove by the principle of mathematical induction that 2+5+8+11+….+(3n-1)=1/2n(3n+1),AA n in N .

Prove by the principle of mathematical induction, that 1.1!+2.2!+3.3!+.....+(n.n!)=(n+1)!-1"for all natural number "n (n!=1xx2xx3....n)

Prove the following by the principle of mathematical induction: \ 1. 2+2. 3+3. 4++n(n+1)=(n(n+1)(n+2))/3

Prove by the principle of mathematical induction that for all !=psi lon N;n1+3+3^(2)+......+3^(n-1)=(3^(n)-1)/(2)

Prove by using the principle of mathematical induction that for all n in N, 10^(n)+(3xx4^(n+2))+5 is divisible by 9 .