Consider the statement `P(n)=1+3+3^2+….+3^(n-1)=(3^n-1)/2`(b)If `P(k)` is true,prove that `P(k+1)` is also true.

Consider the statement P(n)=1+3+3^2+…….+3^(n-1)=frac(3^(n)-1)(2) If P(k) is true, prove that P(k+1) is true.

Consider the statement P(n):1+3+3^2+...+3^(n-1)=(3^n-1)/2 .Show that P(1) is true

Consider the statement P(n)=1+3+3^2+…….+3^(n-1)=frac(3^(n-1))(2) Check P(1) is true.

Consider the statement: P(n)=1^3+2^3+3^3+……..+n^3=[(n(n+1))/2]^2 If P(k) is true, prove that P(k+1) is true.

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 If P(k) is true, prove that P(k+1) is also true

Consider the statement P(n):1^2+2^2+3^2+…….+n^2-(n(n+1)(2n+1))/6 By assume that P(k) is true, prove that P(k+1) is true.

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.

Let P(n) denotes the statement 10^(2n-1)+1 is divisible by 11. If P(m) is true, prove that P(m+1) is also true.

Consider the statement P(n):2^(3n) -1 is divisible by 7 If p(k) is true, show that p(k+1) is also true

Consider the statement: P(n)=1^3+2^3+3^3+……..+n^3=[(n(n+1))/2]^2 Prove that P(1) is true.