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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the re

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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the re  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 60% (01:32) correct 40% (01:51) wrong based on 94 sessions

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A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the reciprocal of the 10th term is x, then x should be in which of the following ranges?

(A) $$0.000001 < x < 0.00001$$

(B) $$0.00001 < x < 0.0001$$

(C) $$0.0001 < x < 0.001$$

(D) $$0.001 < x < 0.01$$

(E) $$0.01 < x < 0.1$$

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Director  D
Joined: 20 Jul 2017
Posts: 923
Location: India
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Re: A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the re  [#permalink]

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Bunuel wrote:
A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the reciprocal of the 10th term is x, then x should be in which of the following ranges?

(A) $$0.000001 < x < 0.00001$$

(B) $$0.00001 < x < 0.0001$$

(C) $$0.0001 < x < 0.001$$

(D) $$0.001 < x < 0.01$$

(E) $$0.01 < x < 0.1$$

Series is in GP
1st term, a = 2
ratio, r = 2
10th term, x = a*$$r^9$$ = 2*$$2^9$$ = 1024
Reciprocal of x = 1/1024
$$\frac{1}{10000}$$ < $$\frac{1}{1024}$$ < $$\frac{1}{1000}$$
--> 0.0001 < x < 0.001

IMO Option C

Pls Hit Kudos if you like the solution
Director  G
Joined: 22 Nov 2018
Posts: 557
Location: India
GMAT 1: 640 Q45 V35 GMAT 2: 660 Q48 V33 Re: A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the re  [#permalink]

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Tenth term in the GP is ar^9=2^10; X=1/2^10; 1/1024; So Xmust be 0.000something (>1) so IMO C
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GMAT Club Legend  D
Joined: 18 Aug 2017
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Re: A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the re  [#permalink]

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1/2^10 = 1/1024 would fall under the range ; $$0.0001 < x < 0.001$$
IMO C

Bunuel wrote:
A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the reciprocal of the 10th term is x, then x should be in which of the following ranges?

(A) $$0.000001 < x < 0.00001$$

(B) $$0.00001 < x < 0.0001$$

(C) $$0.0001 < x < 0.001$$

(D) $$0.001 < x < 0.01$$

(E) $$0.01 < x < 0.1$$
GMAT Tutor G
Joined: 24 Jun 2008
Posts: 1806
A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the re  [#permalink]

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1
Not sure where the question is from, but a sequence question can simply never ask you to "guess" the next values in a sequence only by giving you a list of a few numbers. A sequence beginning 2, 4, 8, 16, 32, ... might be the sequence in which the nth term is 2^n -- that's what it looks like. But it could be an infinite number of other sequences as well. It could be that the nth term is given by this rule:

2^n + (n-1)(n-2)(n-3)(n-4)(n-5)

for example, which is equal to 2^n for the first five terms, and is not equal to 2^n for any other terms. So as the question is written, there's no way to guess what the sequence even is, and no way to answer the question. If this were a real GMAT problem, it would provide an algebraic rule, or a description in words, that lets you work out the tenth term without any potential ambiguity.
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If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com A sequence of 10 integers is as follows: 2, 4, 8, 16, 32 ... If the re   [#permalink] 21 Jun 2019, 15:08
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