Home
Class 11
MATHS
For all nge1, prove that p(n):2^(3n)-1 i...

For all `nge1`, prove that `p(n):2^(3n)-1` is divisible by 7.

Promotional Banner

Similar Questions

Explore conceptually related problems

For all nge1 , prove that p(n):2.7^n+3.5^n-5 is divisible by 24.

For all nge1 , prove that p(n):n(n+1)(n+5) is divisible by 3.

(a)Prove that 3^(2n)-1 is divisible by 8.

For all nge1 , prove that p(n):n^3+(n+1)^3+(n+2)^3 is divisible by 9.

Using binomial thẹorem, prove that 3^(3 n)-26 n-1 is divisible by 676 , where n in N

Using binomial theorem prove that 2^(3n)-7n-1 is divisible by 49, where ninN

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):2^(3n) -1 is divisible by 7 Is the statement p(1) true? justify your answer

Using mathematical induction prove that x^(2n)-y^(2n) is divisible by x+y for all n in N

Using the principle of Mathematical induction,prove that 10^(2n-1)+1 is divisible by 11.