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Math Revolution GMAT Instructor V
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]

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Difficulty:   25% (medium)

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

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[Math Revolution GMAT math practice question]

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

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

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Re: If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?  [#permalink]

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The answer is option E. Hope the image might help.

Kudos if you like! Attachments image1.png [ 7.55 KiB | Viewed 514 times ]

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Math Revolution GMAT Instructor V
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]

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=>

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.
_________________ Re: If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?   [#permalink] 21 Oct 2018, 18:56
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If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?

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