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# Algebra (JEE - Main )

Sujoy Das
10/02/2018 0 0

Question:

A sequence of numbers is written in the following fashion: 1, 7, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, ... till ‘n’ terms. The sum of first 5001 terms of the given sequence is,

a) 5001 b) 20478 c) 19911 d) 39822

n(n+1) = 5000, n = 70,

total = 1/2(70*71 + 7*70*71) + 31.

70 terms of 7 and of 1 plus 31 more terms

35*71*(7+1) =19880 + 31

= 19911

Sum has to be odd so A or C

But obviously sum > 5001

Hence C.

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