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# The sequence S is defined by Sn – 1 = (Sn) for each integer n ≥ 2. If

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The sequence S is defined by Sn – 1 = (Sn) for each integer n ≥ 2. If  [#permalink]

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27 Jul 2018, 00:27
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Difficulty:

25% (medium)

Question Stats:

79% (01:23) correct 21% (00:56) wrong based on 29 sessions

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The sequence S is defined by $$S_{n – 1} = \frac{1}{4}(S_n)$$ for each integer n ≥ 2. If $$S_1 = –4$$, what is the value of $$S_4$$?

(A) –256

(B) –64

(C) $$\frac{-1}{16}$$

(D) $$\frac{1}{16}$$

(E) 256

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The sequence S is defined by Sn – 1 = (Sn) for each integer n ≥ 2. If  [#permalink]

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27 Jul 2018, 00:36
Bunuel wrote:
The sequence S is defined by $$S_{n – 1} = \frac{1}{4}(S_n)$$ for each integer n ≥ 2. If $$S_1 = –4$$, what is the value of $$S_4$$?

Sn-1 = 1/4 * Sn
Sn = 4*Sn-1

S2 = 4*S1 = 4*(-4) = -16
S3 = 4*S2 = 4*(-16) = -64
S4 = 4*S3 = 4*(-64) = -256

Hence, A.
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The sequence S is defined by Sn – 1 = (Sn) for each integer n ≥ 2. If &nbs [#permalink] 27 Jul 2018, 00:36
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