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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6985
GMAT 1: 760 Q51 V42
GPA: 3.82
If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?  [#permalink]

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18 Oct 2018, 00:14
1
00:00

Difficulty:

15% (low)

Question Stats:

80% (02:20) correct 20% (02:16) wrong based on 62 sessions

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[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 $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 10 Oct 2018 Posts: 129 Location: United States GPA: 4 WE: Human Resources (Human Resources) Re: If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=? [#permalink] ### Show Tags 18 Oct 2018, 01:32 The answer is option E. Hope the image might help. Kudos if you like! Attachments image1.png [ 7.55 KiB | Viewed 389 times ] _________________ Kudos OK Please!! Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6985 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, 17:56 => 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$149 for 3 month Online Course"
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Re: If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?   [#permalink] 21 Oct 2018, 17:56
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