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# In the sequence of numbers

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In the sequence of numbers [#permalink]  15 May 2018, 10:51
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Question Stats:

95% (01:01) correct 4% (00:00) wrong based on 23 sessions
In the sequence of numbers $$x_1, x_2, x_3, x_4, x_5,$$ each number after the first is twice the preceding number. If $$x_5 - x_1$$ is 20, what is the value of $$x_1$$ ?

A. $$\frac{4}{3}$$

B. $$\frac{5}{4}$$

C. $$2$$

D. $$\frac{5}{2}$$

E. $$4$$
[Reveal] Spoiler: OA

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Re: In the sequence of numbers [#permalink]  16 May 2018, 06:13
3
KUDOS
From the question,

x1 = x1
x2 = 2x1
x3 = 4x1
x4 = 8x1
x5 = 16x1

Also x5 -x1 = 20; we can rewrite it as:

16x1 - x1 = 20
or, 15x1 = 20
therefore x1 = $$\frac{20}{15}$$ which reduces to $$\frac{4}{3}$$
option A
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Re: In the sequence of numbers   [#permalink] 16 May 2018, 06:13
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