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  4. In the sequence 1 . 2,3 , 4,5,6 , 7,8,9,10, ...... of sets the sum of elements in the 50th set is

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Q. In the sequence {1} . {2,3} , {4,5,6} , {7,8,9,10}, ...... of sets the sum of elements in the 50th set is

Principle of Mathematical Induction

Solution:

First term of 50th set is (1+2+3+....+49) +1 = 1226
Required some = 50/2 (2 $\times $ 1226 + 49 $\times$ 1 )= 6252