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Sn=(Sn-1)Sn-2 , S1=-1 and S2=2. What is the value of S5?

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Sn=(Sn-1)Sn-2 , S1=-1 and S2=2. What is the value of S5?

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[GMAT math practice question]

Sn=(Sn-1)^{Sn-2} , S1=-1 and S2=2. What is the value of S5?

A. 1/4
B. 1/2
C. 1
D. 2
E. 4

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=>

S3=(S2)^{S1}=(2)^{-1}=1/2
S4=(S3)^{S2}=(1/2)^2=1/4
S5=(S4)^{S3}=(1/4)^{1/2}=1/2

Therefore, the answer is B.
Answer: B

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