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In a certain sequence of numbers, each term after the first.

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In a certain sequence of numbers, each term after the first. [#permalink]  02 Jan 2016, 00:38
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In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence? Indicate all such numbers.

A.5
B.8
C.11
D.16
E.22
F.35

I don't know how to solve this in a proper way.
[Reveal] Spoiler: OA
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Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Re: In a certain sequence of numbers, each term after the first. [#permalink]  02 Jan 2016, 18:16
Expert's post
maverickjin8 wrote:
In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence? Indicate all such numbers.

A.5
B.8
C.11
D.16
E.22
F.35

I don't know how to solve this in a proper way.

Let the first term be $$x$$. then the series is....

$$X$$, $$2X -3$$, $$4X - 9$$, $$8X - 21$$

8X -21 =19
8X =40
X =5

So putting X =5 the series is 5, 7, 11, 19, 35, 67...............

So 5, 11 and 35..

PS: this question is very strangely worded! Can you share the source?
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Sandy
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Re: In a certain sequence of numbers, each term after the first. [#permalink]  03 Sep 2018, 15:50
The 4th term is 19.
5th term is (19*2)-3 = 35

the 3rd term is (19+3)/2 = 11

similarly 2nd and 1st term is respectively 7 and 5.

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Re: In a certain sequence of numbers, each term after the first. [#permalink]  14 Feb 2019, 02:07
sandy wrote:
PS: this question is very strangely worded! Can you share the source?

ETS Official Quantitative Reasoning Practice Questions, Chapter 7, Practice Set 1, Question 19
Re: In a certain sequence of numbers, each term after the first.   [#permalink] 14 Feb 2019, 02:07
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