[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
The terms of the sequence {An}, where n is a positive intege
This topic has expert replies
- Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
- Max@Math Revolution
- 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 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
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
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]