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# The sum of a three term sequence of consecutive positive odd integers

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VP
Joined: 07 Dec 2014
Posts: 1192
The sum of a three term sequence of consecutive positive odd integers  [#permalink]

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03 Aug 2017, 15:40
00:00

Difficulty:

65% (hard)

Question Stats:

33% (03:00) correct 67% (02:24) wrong based on 9 sessions

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The sum of a three term sequence of consecutive positive odd integers is 1 less than the sum of a four term sequence of consecutive positive even integers.
If the sum of the odd sequence is less than 100, how many such odd and even sequences are there?

A. 2
B. 4
C. 6
D. 8
E. 10

(source:self)

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Manager
Joined: 07 Jun 2017
Posts: 100
Re: The sum of a three term sequence of consecutive positive odd integers  [#permalink]

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04 Aug 2017, 00:58
gracie wrote:
The sum of a three term sequence of consecutive positive odd integers is 1 less than the sum of a four term sequence of consecutive positive even integers.
If the sum of the odd sequence is less than 100, how many such odd and even sequences are there?

A. 2
B. 4
C. 6
D. 8
E. 10

(source:self)

Would anyone provide a solution? Thank you.
Intern
Status: No Progress without Struggle
Joined: 04 Aug 2017
Posts: 42
Location: Armenia
GPA: 3.4
Re: The sum of a three term sequence of consecutive positive odd integers  [#permalink]

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04 Aug 2017, 02:30
Should one firstly make an equation? Like: n+1+n+2+n+3-1=n+2+n+4+n+6? Afterward, make an inequality and solve.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: The sum of a three term sequence of consecutive positive odd integers   [#permalink] 04 Aug 2017, 02:30
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