Home
Class 11
MATHS
Use induction to prove that 10^(n)+3 xx ...

Use induction to prove that `10^(n)+3 xx 4^(n+2) +5`, is dvisible by 9, for all natural no. n.

Text Solution

Verified by Experts

The correct Answer is:
p(n) is true
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.5|25 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos
  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.3|25 Videos
  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise Additional Questions Solved|31 Videos
  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

Similar Questions

Explore conceptually related problems

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

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

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

10^(n)+3(4^(n+2))+5 is divisible by (ninN)

By mathematical induction prove that 2^(3n) -1 is divisible by 7.

Use induction to prove that 5^(n+1) + 4 xx 6^(n) when divided by 20 leaves a remainder 9 for all natural numbers n .

If p is a fixed positive integer, prove by induction that p^(n +1) + (p + 1)^(2n - 1) is divisible by P^2+ p +1 for all n in N .