Target Test Prep 20% Off Flash Sale is on! Code: FLASH20

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

The terms of the sequence {An}, where n is a positive intege

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

The terms of the sequence {An}, where n is a positive intege

by Max@Math Revolution » Wed Mar 07, 2018 2:33 am
[GMAT math practice question]

The terms of the sequence {An}, where n is a positive integer, satisfy A1=81, A2=82, A3=83, and An+3=An+4. Which of the following cannot be a value of An?

A. 801
B. 802
C. 803
D. 804
E. 805
Top
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

by Max@Math Revolution » Thu Mar 08, 2018 11:12 pm
=>

The terms of the sequence can be divided into three groups:
A1 = 81, A4 = 85, A7 = 89, ... : These have a remainder of 1 when they are divided by 4.
A2 = 82, A5 = 86, A8 = 90, ... : These have a remainder of 2 when they are divided by 4.
A3 = 83, A6 = 87, A9 = 91, ... : These have a remainder of 3 when they are divided by 4.
No term of the sequence is a multiple of 4.

Since 804 is a multiple of 4, it cannot be a term of the sequence.

Therefore, the answer is D.

Answer: D
Top
Post new topic Post Reply
• Page 1 of 1