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

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 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 ?

If N, the set of natural numbers is partitioned 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 in S_(50).

If N, the set of natural numbers is partitioned 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 in S_(50).

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).

84. The natu The natural numbers are written as follows 2 3 7 8 9 10 th The sum of the numbers in the n" row is (A) (n2-1)

If A={1,2,3,4,5},B={4,5,6,7,8},C={7,8,9,10,11}andD={10,11,12,13,14. Find: A nn(B uu C)