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

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Bunuel
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In a certain sequence, the first term is 2, and each successive term [#permalink] New post   02 Dec 2014, 09:08
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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

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Source: Chili Hot GMAT
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A
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manpreetsingh86
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Re: In a certain sequence, the first term is 2, and each successive term [#permalink] New post   02 Dec 2014, 10:38
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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
hence answer should be A.
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Re: In a certain sequence, the first term is 2, and each successive term [#permalink] New post   02 Dec 2014, 11:14
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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] New post   02 Dec 2014, 18:59
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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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Re: In a certain sequence, the first term is 2, and each successive term [#permalink] New post   03 Dec 2014, 07:51
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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


The correct answer is A.

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] New post   18 May 2020, 04:27
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


2 , (\(\frac{1}{2}\)+ 1 = \(\frac{3}{2 }\)) , (\(\frac{2}{3}\) + 1 = \(\frac{5}{3 }\)) , (\(\frac{3}{5}\) + 1 = \(\frac{8}{5 }\)) , (\(\frac{5}{8}\) + 1 = \(\frac{13}{8 }\))

Hence Answer is A
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Re: In a certain sequence, the first term is 2, and each successive term [#permalink]
18 May 2020, 04:27
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