GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 13 Oct 2019, 18:36

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7999
GMAT 1: 760 Q51 V42
GPA: 3.82
If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?  [#permalink]

### Show Tags

18 Oct 2018, 01:14
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

79% (02:15) correct 21% (02:09) wrong based on 69 sessions

### HideShow timer Statistics

[Math Revolution GMAT math practice question]

If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?

$$A. \frac{1}{2}$$
$$B. \frac{1}{4}$$
$$C. 2$$
$$D. 4$$
$$E. 16$$

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Status: Whatever it takes! Joined: 10 Oct 2018 Posts: 381 GPA: 4 Re: If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=? [#permalink] ### Show Tags 18 Oct 2018, 02:32 The answer is option E. Hope the image might help. Kudos if you like! Attachments image1.png [ 7.55 KiB | Viewed 514 times ] _________________ Kudos OK Please!! ALL ABOUT GMAT- $$https://exampal.com/gmat/blog/gmat-score-explained$$ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7999 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=? [#permalink] ### Show Tags 21 Oct 2018, 18:56 => S3=(S2)^{-S1}=(2)-1=$$\frac{1}{2}$$ S4=(S3)^{-S2}=$$(\frac{1}{2})^{-2}=4$$ S5=(S4)^{-S3}=$$(4)^{\frac{-1}{2}}=\frac{1}{2}$$ S6=(S5)^{-S4}=$$(\frac{1}{2})^{-4}=16$$ Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Re: If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?   [#permalink] 21 Oct 2018, 18:56
Display posts from previous: Sort by