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

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Director
Director
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G
Joined: 07 Dec 2014
Posts: 815

Kudos [?]: 248 [0], given: 12

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

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New post 03 Aug 2017, 15:40
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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)
[Reveal] Spoiler: OA

Kudos [?]: 248 [0], given: 12

Manager
Manager
avatar
B
Joined: 07 Jun 2017
Posts: 111

Kudos [?]: 3 [0], given: 454

Re: The sum of a three term sequence of consecutive positive odd integers [#permalink]

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New post 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.

Kudos [?]: 3 [0], given: 454

Intern
Intern
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Joined: 04 Aug 2017
Posts: 1

Kudos [?]: 0 [0], given: 0

Re: The sum of a three term sequence of consecutive positive odd integers [#permalink]

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New post 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.

Kudos [?]: 0 [0], given: 0

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

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