Home
Class 11
MATHS
By the principle of mathematical inducti...

By the principle of mathematical induction, prove that, for `nge1`
`1^(3) + 2^(3) + 3^(3) + . . .+ n^(3)=((n(n+1))/(2))^(2)`

Answer

Step by step text solution for By the principle of mathematical induction, prove that, for nge11^(3) + 2^(3) + 3^(3) + . . .+ n^(3)=((n(n+1))/(2))^(2) by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 4.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|11 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise EXERCISE 4.3|37 Videos

  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Choose the correct option for the following)|31 Videos

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos

Similar Questions

Explore conceptually related problems

By the principle of mathematical induction , prove that for n ge 1

By the principle of mathematical induction, prove that, for nge1 1^(2) + 3^(2) + 5^(2) + . . .+ (2n-1)^(2)=((n(2n-1)(2n+1))/3)

By the principle of mathematical induction , prove that for n le 1, 1^(2) + 2^(2) + 3^(2) + …+ n^(2) > n^(3)/3

By the principle of mathematic induction, prove that, for n ge 1 , 1^(2) + 2^(2) + 3^(2) + …+n^(2) gt n^(3)/3

By the principal of mathematic induction, prove that, for nge1 1.2 + 2.3 + 3.4 +. . . +n.(n+1)=(n(n+1)(n+2))/3

BY the principle of mathematical induction , prove that for n ge 1 1^(2) + 3^(2) + 5^(2) + ….+ ( 2n-1)^(2) = (n(2n-1) (2n+1))/3

By the principle of mathematical induction , prove that for n le 1 1 .2 + 2.3 + 3.4 + …+ n(n+1) = ( n ( n +1)(n+2))/3

By the principle of mathematical induction, prove that for all integers n ge 1 1^(2)+2^(2)+3^(2)+……….+n^(2)=(n(n+1)(2n+1))/6

By the principle of mathematical induction , prove that , for all integers n ge 1, 1+2+3+…+ n=(n(n+1))/(2)

By the principle of mathematical induction, prove that for all integers nge1 , 1+2+3+…………..+n=(n(n+1))/2

Home
Profile