Number Systems -Sequence and Series

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Number Systems -Sequence and Series

by sukhman » Thu Oct 17, 2013 8:12 am
Sequence S is defined as Sn = X + (1/X), where X = Sn - 1 + 1, for all n > 1.
If S1= 201, then which of the following must be true of Q, the sum of the first 50 terms of S?
(A) 13,000 < Q < 14,000 (B) 12,000 < Q < 13,000 (C) 11,000 < Q < 12,000
(D) 10,000 < Q < 11,000 (E) 9,000 < Q < 10,000

Mine answer is 6250 which is not here among 5 choices
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by theCodeToGMAT » Thu Oct 17, 2013 9:04 am
S1 = 201

S2 = 202 + 1/202
.
.
S50 = 250 + 1/250

Sum of 201--250
50/2*(2*201 + 49*1) = 25*(451) = 11275

Approx sum of other terms = 50*1/200 = .25

So, {C}

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