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18 Oct 2018, 01:14
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E
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Difficulty:
25%
(medium)
Question Stats:
78% (02:13) correct
22%
(01:54)
wrong
based on 133
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[Math Revolution GMAT math practice question]
If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?
\(A. \frac{1}{2}\)
\(B. \frac{1}{4}\)
\(C. 2\)
\(D. 4\)
\(E. 16\)
If Sn=(Sn-1)^{-Sn-2}, S1=1, and S2=2, then S6=?
\(A. \frac{1}{2}\)
\(B. \frac{1}{4}\)
\(C. 2\)
\(D. 4\)
\(E. 16\)
18 Oct 2018, 02:32
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The answer is option E. Hope the image might help.
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21 Oct 2018, 18:56
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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.
Answer: E
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
