Home
Class 11
MATHS
Using the principle of finite Mathematic...

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`.

Text Solution

Verified by Experts

The correct Answer is:
` AA " n " in N`.
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - A (Very Short Answer type questions)|10 Videos

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B (Short Answer type questions)|9 Videos

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B (II. Short answer type questions)|7 Videos

  • MODEL PAPER 10

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long answer type questions)|8 Videos

  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (Long Answer type questions)|9 Videos

Similar Questions

Explore conceptually related problems

Using the principle of finite Mathematical Induction prove the following: (vi) 2+3.2+4.2^(2)+………."upto n terms" = n.2^(n) .

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

AA n in N, 7.5^(2n ) + 12.6^(n) is divisible by

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

Using the principle of finite Mathematical Induction prove the following: (iv) a+ar+ar^(2)+……..+"n terms" = (a(r^(n)-1))/(r-1) , r != 1 .

Using the principle of finite Mathematical Induction prove the following: (iii) 1/(1.4) + 1/4.7 + 1/7.10 + ……… + "n terms" = n/(3n+1) .

AA n in , 7^(2n) + 3^(n-1) . 2^(3n-3) is divisible by

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

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

AA n in N, 5^(2n+2) - 24n - 25 is divisible by