Home
Class 11
MATHS
Using the principle of Mathematical Indu...

Using the principle of Mathematical Induction, show that `2.4^(2n+1)+3^(3n+1)` is divisible by 11, `forall n in N`

Text Solution

Verified by Experts

The correct Answer is:
11, `AA n in N `
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise 2 (a)|15 Videos
  • MARCH - 2016 (TELANGANA)

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Section -C (Long answer type quesitons)|7 Videos
  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |45 Videos

Similar Questions

Explore conceptually related problems

Using the principle of Mathematical Induction, Show that 49^n+16n-1 is divisible by 64, forall n in N .

By Mathematical Induction , show that 49^(n)+16n-1 is divisible by 64 for all positive Integer n .

4^(n) - 3n - 1 is divisible by 9

By mathematical induction, show that 49^n+16n-1 is divisible by 64 for all positive integer n.

Using the principle of finite Mathematical Induction prove the following: (v) 3.5^(2n+1)+2^(3n+1) is divisible by 17, AA n in N .

((n+2)!)/( (n-1)!) is divisible by

Is 10^(2n)+1-1 is divisible by 11 or not. Explain.

AA n in N, n^(2) (n^(4) -1) is divisible by