Prove by the principle of mathematical induction that for all natural numbers n; `1+3+3^2+.....+3^(n-1)=(3^n-1)/2`.

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

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

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

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

Prove by principle of Mathematical Induction that for all natural number in n(n+1)(n+2) is divisible by 6.

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

Prove the following by using the principle of mathematical induction for all n in Nvdots1+3+3^(2)+...+3^(n-1)=((3^(n)-1))/(2)