Home
Class 12
MATHS
Prove by using the principle of mathemat...

Prove by using the principle of mathematical induction that for all `n in N, 10^(n)+3.4^(n+2)+5` is divisible by 9

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 5|15 Videos
  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 6|15 Videos
  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 3|14 Videos
  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Prove by the principle of mathematical induction that n<2^(n) for alln in N

Using the principle of Mathematical Induction, prove that forall nin N , 4^(n) - 3n - 1 is divisible by 9.

Prove that for n in N,10^(n)+3.4^(n+2)+5 is divisible by 9.

Prove the following by using the principle of mathematical induction for all n in Nvdotsx^(2n)-y^(2n) is divisible by x+y

Prove the following by using the principle of mathematical induction for all n in Nvdots10^(2n-1)+1 is divisible by 11.

Prove the following by using the principle of mathematical induction for all n in Nvdots3^(2n+2)-8n-9 is divisible by 8.

Using the principle of mathematical induction, prove that n<2^(n) for all n in N

Prove by the principle of mathematical induction that for all n in N,n^(2)+n is even natural number.

Using principle of mathematical induction prove that sqrt(n) =2

Prove the following by using the Principle of mathematical induction AA n in N 3^(n)>2^(n)