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What is the difference between the sixth and the fifth terms

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What is the difference between the sixth and the fifth terms [#permalink] New post 20 Dec 2012, 08:02
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What is the difference between the sixth and the fifth terms of the sequence 2, 4, 7, ... whose nth term is n + 2^(n - 1)?

(A) 2
(B) 3
(C) 6
(D) 16
(E) 17
[Reveal] Spoiler: OA
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Re: What is the difference between the sixth and the fifth terms [#permalink] New post 20 Dec 2012, 08:04
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Walkabout wrote:
What is the difference between the sixth and the fifth terms of the sequence 2, 4, 7, ... whose nth term is n + 2^(n - 1)?

(A) 2
(B) 3
(C) 6
(D) 16
(E) 17


Given that a_n=n+2^{n-1}, thus:

a_6=6+2^{6-1}=38;
a_5=5+2^{5-1}=21;

The difference is 38-21=17.

Answer: E.
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Re: What is the difference between the sixth and the fifth terms [#permalink] New post 25 Nov 2014, 13:02
Bunuel wrote:
Walkabout wrote:
What is the difference between the sixth and the fifth terms of the sequence 2, 4, 7, ... whose nth term is n + 2^(n - 1)?

(A) 2
(B) 3
(C) 6
(D) 16
(E) 17


Given that a_n=n+2^{n-1}, thus:

a_6=6+2^{6-1}=38;
a_5=5+2^{5-1}=21;

The difference is 38-21=17.

Answer: E.


Just one question, why do they mention 2, 4, 7. Is that to throw a test-taker off?
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Re: What is the difference between the sixth and the fifth terms [#permalink] New post 26 Nov 2014, 04:10
Expert's post
Bigred2008 wrote:
Bunuel wrote:
Walkabout wrote:
What is the difference between the sixth and the fifth terms of the sequence 2, 4, 7, ... whose nth term is n + 2^(n - 1)?

(A) 2
(B) 3
(C) 6
(D) 16
(E) 17


Given that a_n=n+2^{n-1}, thus:

a_6=6+2^{6-1}=38;
a_5=5+2^{5-1}=21;

The difference is 38-21=17.

Answer: E.


Just one question, why do they mention 2, 4, 7. Is that to throw a test-taker off?


2, 4, and 7, are the first, second and the third terms of the sequence whose nth term is n + 2^(n - 1). For n = 1, n + 2^(n - 1) = 1 + 2^0 = 2, for n = 2, n + 2^(n - 1) = 2 + 2^1 = 4, and for n = 3, n + 2^(n - 1) = 3 + 2^2 = 7. So, those numbers are given simply as an example.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


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Re: What is the difference between the sixth and the fifth terms   [#permalink] 26 Nov 2014, 04:10
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