If the set of natural numbers is partitioned into subsets `S_1={1},S_2={2,3},S_3={4,5,6}` and so on then find the sum of the terms in `S_(50)dot`

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).

If S_(1)={2},S_(2)={3,6},S_(3)={4,8,16},S_(4)={5,10,20,40} then the sum of numbers in the set S_(15) is

The sets S_1,S_2,S_3, .......... are given by S_1={2/1},S_2={3/2,5/2},S_3={4/3,7/3(10)/3},S_4={5/4,9/4,(13)/4,(17)/4}, ddot Then the sum of the numbers in the set S_(25) is 320 (b) 322 (c) 326 (d) 325