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In a certain sequence, the first term is 2, and each successive term

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Math Expert
Joined: 02 Sep 2009
Posts: 49320
In a certain sequence, the first term is 2, and each successive term  [#permalink]

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02 Dec 2014, 09:08
00:00

Difficulty:

5% (low)

Question Stats:

88% (00:59) correct 12% (01:05) wrong based on 138 sessions

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Tough and Tricky questions: Sequence.

In a certain sequence, the first term is 2, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?

A) 13/8
B) 21/13
C) 8/5
D) 5/8
E) 8/13

Kudos for a correct solution.

Source: Chili Hot GMAT

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Joined: 13 Jun 2013
Posts: 277
Re: In a certain sequence, the first term is 2, and each successive term  [#permalink]

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02 Dec 2014, 10:38
1
Bunuel wrote:

Tough and Tricky questions: Sequence.

In a certain sequence, the first term is 2, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?

A) 13/8
B) 21/13
C) 8/5
D) 5/8
E) 8/13

Kudos for a correct solution.

Source: Chili Hot GMAT

let five terms in the sequence be a,b,c,d,e
a=2
b= 1+1/2=3/2
c=1+2/3= 5/3
d= 1+3/5 = 8/5
e= 1+5/8 = 13/8
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Joined: 12 Sep 2014
Posts: 157
GMAT 1: 740 Q49 V41
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Re: In a certain sequence, the first term is 2, and each successive term  [#permalink]

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02 Dec 2014, 11:14
1
Step-by-step calculations:
First number is 2
Second term is 1 + 1/2 = 3/2
Third term is 1 + 2/3 = 5/3
Fourth term is 1 + 3/5 = 8/5
Fifth term is 1 + 5/8 = 13/8

Choice A
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Re: In a certain sequence, the first term is 2, and each successive term  [#permalink]

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02 Dec 2014, 18:59
1
A) 13/8

First Term = 2; Reciprocal $$= \frac{1}{2}$$

Second Term $$= \frac{1}{2} + 1 = \frac{3}{2}$$ ; Reciprocal $$=\frac{2}{3}$$

Third Term $$= \frac{2}{3} + 1 = \frac{5}{3}$$ ; Reciprocal $$= \frac{3}{5}$$

Forth Term $$= \frac{3}{5} + 1 = \frac{8}{5}$$ ; Reciprocal $$=\frac{5}{8}$$

Fifth Term $$= \frac{5}{8} + 1 = \frac{13}{8}$$
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Math Expert
Joined: 02 Sep 2009
Posts: 49320
Re: In a certain sequence, the first term is 2, and each successive term  [#permalink]

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03 Dec 2014, 07:51
Bunuel wrote:

Tough and Tricky questions: Sequence.

In a certain sequence, the first term is 2, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?

A) 13/8
B) 21/13
C) 8/5
D) 5/8
E) 8/13

Kudos for a correct solution.

Source: Chili Hot GMAT

Theory on sequences problems: sequences-progressions-101891.html

All DS sequences problems to practice: search.php?search_id=tag&tag_id=111
All PS sequences problems to practice: search.php?search_id=tag&tag_id=112

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Re: In a certain sequence, the first term is 2, and each successive term  [#permalink]

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06 Oct 2017, 06:27
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a certain sequence, the first term is 2, and each successive term &nbs [#permalink] 06 Oct 2017, 06:27
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