Home
Class 12
MATHS
7^(2n) + 2^(3n-3) 3^(n-1) is divisible b...

`7^(2n) + 2^(3n-3) 3^(n-1)` is divisible by 25 for any natural number `n gt 1`.

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|66 Videos

  • PROBABILITY

    MBD PUBLICATION|Exercise QUESTION BANK|171 Videos

Similar Questions

Explore conceptually related problems

5^n -1 is divisible by 4.

3^(2(n-1)) + 7 is divisible by 8 for every natural n ge 2 .

4^(n+1) + 15n + 14 is divisible by 9 for every natural number n ge 0 .

5^(2(n-4) -6n + 32 is divisible by 9 for every natural number n ge 5 .

7.5^(2n-1) + 2^(3n+1) is divisible by 17 for every natural n ge 1 .

2^n gt n , n is a natural number.

(1. 2. 3 … n)^3 gt 8 (1^3 + 2^3 + 3^3 + …+ n^3) , for n gt 3

C_(3)^(2n):C_(3)^(n)= 44:5 , find the value of n .