(a)`P(n):5^n-1` is an integral multiple of 5,then P(5)=……..

(a) P(n):2^(3n)-1 is an integral multiple of 7,then find P(1)?

(b) P(n):5^(2n+2)-24n-25 is divisible by 576,then P(0)=………..

Consider the statement '' p(n):9^n-1 is a multiple of 8''. Where n is a natural number. Is p(1) true?

Consider the statement '' p(n):9^n-1 is a multiple of 8''. Where n is a natural number. Assuming p(k) is true, show that p(k+1) is true.

(a) P(n):n(n+1)(n+2) is divisible by 6,then find P(3) .

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 Prove that P(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

Given that p(n,r)=(n!)/((n-r)!) What are the values of P(5, r) and P(6, r -1)?

Let A={x:x in N and x is a multiple of 2}, B={x:x in N and x is a multiple of 5} and C={x:x in N and x is a multiple of 10}. Describe the sets (A nn B)nn C

The sums of n terms of two A.P.s are in the ratio (5n + 4): (9n + 6). Find the ratio of their 18^(th) terms.