Which of the following is closest to (-3/4)^199?
A. -1
B. -1/2
C. 0
D. 1
E. 2
*An answer will be posted in 2 days.
Which of the following is closest to (-3/4)^199?
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]
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Let's make a few observations and look for a pattern...Max@Math Revolution wrote:Which of the following is closest to (-3/4)^199?
A. -1
B. -1/2
C. 0
D. 1
E. 2
*An answer will be posted in 2 days.
(-3/4)¹ = -3/4
(-3/4)² = (-3/4)(-3/4) = 9/16 ≈ a little more than 1/2
(-3/4)³ = (-3/4)(-3/4)(-3/4) = -27/64 ≈ a little more than -1/2
(-3/4)� = (-3/4)(-3/4)(-3/4)(-3/4) = 81/256 ≈ a little less than 1/3
As the exponent, n, increases, the MAGNITUDE of (-3/4)^n decreases
That is, as the exponent, n, increases, the value of (-3/4)^n approaches zero
So, 0 is the closest value to (-3/4)^199
Answer: C
RELATED VIDEO: https://www.gmatprepnow.com/module/gmat ... video/1022
- 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
From -1<x<1, x^n approaches 0 as n increases. Hence, the correct answer is C.
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]