`a+ar+ar^(2)+……+ar^(n-1)=(a(r^(n)-1))/(r-1)rgt1`

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 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)

Consider the following statement: P(n):a+ar+ar^2+……+ar^(n-1)=(a(r^n-1))/(r-1) Prove that P(1) is true.

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) .

Consider the following statement: P(n):a+ar+ar^2+……+ar^(n-1)=(a(r^n-1))/(r-1) Hence by using the principle of mathematical induction, prove that P(n) is true for all natural numbers n .

a+ar+ar^(2)+...+ar^(n-1)=(a(1-r^(n)))/(1-r) forall n in N.

Using the principle of finite Mathematical Induction prove the following: (iv) a+ar+ar^(2)+……..+"n terms" = (a(r^(n)-1))/(r-1) , r != 1 .

If the sum of the first n terms of the series a + ar + ar^(2) +…+ ar^(n-1) +… oo is (a)/(1-r) , then -