Home
Class 11
MATHS
Prove, by Principle of Mathematical Indu...

Prove, by Principle of Mathematical Induction, that the sum of the cubes of
three consecutive natural numbers is divisible by 9.

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    JBD PUBLICATION|Exercise EXAMPLE|59 Videos

  • PROBABILITY

    JBD PUBLICATION|Exercise EXAMPLE|71 Videos

Similar Questions

Explore conceptually related problems

Prove that the sum of three consecutive even numbers is divisible by 6.

Product of any r consecutive natural numbers is always divisible by :

Prove that the sum of the two consecutive odd numbers is divisible by 4.

Find the sum of first hundred even natural numbers divisible by 5.

By Mathematical Induction, prove that : n! 1 .

Property:Product of r consecutive number is divisible by r!

Show that the sum of the cubes of any number of consecutive integers is divisible by sum of those integers.

Prove that the product of three consecutive positive integers is divisible by 6 .