Home
Class 11
MATHS
Prove that 7^(n) - 6n - 1 is always divi...

Prove that `7^(n)` - 6n - 1 is always divisible by 36.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Choose the correct option for the following)|31 Videos
  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Choose the correct option for the following)|31 Videos
  • BASIC ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE I -Choose the correct option for the following(MCQ)|37 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

Similar Questions

Explore conceptually related problems

If n is a positive integer, show that, 9^(n+1)-8n-9 is always divisible by 64.

Prove the 2^(n)+6times9^(n) is always divisible by 7 for any positive integer n.

Use induction to prove that n^(3) - n + 3 , is divisible by 3, for all natural numbers n

49^(n)+16n-1 is divisible by

Prove that 2.7^(n)+ 3.5^(n)-5 is divisible by 24 for all n in N

For every positive integer n, prove that 7^(n) – 3^(n) is divisible by 4.

Using principle of mathematical induction, prove that 7^(4^(n)) -1 is divisible by 2^(2n+3) for any natural number n.