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

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

Prove the following by using the principle of mathematical induction for all n in Nvdotsa+ar+ar^(2)+...+ar^(n-1)=(a(r^(n)-1))/(r-1)

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

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

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

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 1 + 2 + 2^2 + …..+2^n = 2^(n+1) -1

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

Prove the following by the principle of mathematical induction: 1+2+2^(7)=2^(n+1)-1 for all n in N

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