JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

S

denotes the sum to infinity and

{S_n}

the sum of

n

terms of the series

1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots ,

such that

S - {S_n} < \frac{1}{{1000}},

then the least value of

n

View answer and explanation

Correct option: D

Option D (11) is correct because the least value of n that satisfies the condition S - Sn < 1/1000 is 11.

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