Home
Class 12
MATHS
The set of natural numbers N is partitio...

The set of natural numbers N is partitioned into arrays of rows and columns in the form of matrices as `M_1=(1),M_2=((2,3),(4,5)),M_3=((6,7,8),(9,10,11),(12,13,14)),...,M_n=()` and so on. Find the sum of the elements of the

Text Solution

Verified by Experts

The correct Answer is:
`(n)/( 6) (2n^(3) +n+3) `
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)|49 Videos
  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)|17 Videos
  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-I)|12 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

The set of natural numbers is divided into array of rows and columns in the form of matrices as A_(1)=[1], A_(2)=[(2,3),(4,5)], A_(3)=[(6,7,8),(9,10,11),(12,13,14)] and so on. Let the trace of A_(10) be lambda . Find unit digit of lambda ?

The series of natural numbers is divided into groups asfollows; (1),(2,3),(4,5,6),(7,8,9,10) and so on. Find the sum of the numbers in the n^(t)h group is

If N, the set of natural numbers is partitionaed into groups S_(1)={1},S_(2)={2,3},S_(3)={4,5,6,7},S_(4)={8,9,10,11,12,13,14,15},"....", find the sum of the numbers n C_(50).

The element in the second row and third column of the matrix [{:(1,2,3),(4,5,6),(7,8,9):}] is ________