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

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

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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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[Reveal] Spoiler: OA

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

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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]

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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]

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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]

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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

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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

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