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# In a sequence of numbers in which each term after the first term is 1

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Math Expert
Joined: 02 Sep 2009
Posts: 59588
In a sequence of numbers in which each term after the first term is 1  [#permalink]

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30 Aug 2017, 06:02
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Difficulty:

25% (medium)

Question Stats:

75% (01:12) correct 25% (01:10) wrong based on 93 sessions

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In a sequence of numbers in which each term after the first term is 1 more than twice the preceding term, what is the fifth term?

(1) The first term is 1.
(2) The sixth term minus the fifth term is 32.

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Joined: 21 Dec 2016
Posts: 32
Re: In a sequence of numbers in which each term after the first term is 1  [#permalink]

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30 Aug 2017, 06:33
Is it D?

Explanation: 1) we have the first term for the series. Rest is just calculating based on the given condition.

2) Take first expression as x, use the given condition to evaluate 5th and 6th term. We will have a linear equation to get the value of x.

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Intern
Joined: 15 Aug 2017
Posts: 24
Re: In a sequence of numbers in which each term after the first term is 1  [#permalink]

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30 Aug 2017, 07:13
I think the answer would be E?

Using a linear equation of 2X + 1 = Y
Term 1: X = 1, Y = 3
Term 2: X = 3, Y = 7
Term 3: X = 7, Y = 15
Term 4: X = 15, Y = 31
Term 5: X = 31, Y = 63
Term 6: X = 63, Y = 127

127 - 63 = 64
Intern
Joined: 23 Aug 2017
Posts: 13
Re: In a sequence of numbers in which each term after the first term is 1  [#permalink]

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30 Aug 2017, 09:14

(1) give you the first term, so you can calculate the fifth term easily.
(2) we know that the sixth term is 1 more than twice the fifth, and its difference is 32. Call the fifth value is x, the difference can be formulated as 2x + 1 - x = x + 1 = 32 => x = 31
Re: In a sequence of numbers in which each term after the first term is 1   [#permalink] 30 Aug 2017, 09:14
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