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# Each year for 4 years, an insect species increased its population with

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Senior CR Moderator
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1372
Location: Viet Nam
Each year for 4 years, an insect species increased its population with  [#permalink]

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14 Apr 2017, 20:31
1
00:00

Difficulty:

45% (medium)

Question Stats:

70% (02:41) correct 30% (03:21) wrong based on 43 sessions

### HideShow timer Statistics

Each year for 4 years, an insect species increased its population within a locality by the number equal to half of the population of the preceding year. If there were 16,200 insects of the species in the locality at the end of the four-year period, how many insects of the species were in the locality at the beginning of the four-year period?

A. 2,600
B. 2,800
C. 3,000
D. 3,200
E. 3,400

Source: GMAT Free

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Joined: 02 Sep 2009
Posts: 52385
Re: Each year for 4 years, an insect species increased its population with  [#permalink]

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15 Apr 2017, 01:51
nguyendinhtuong wrote:
Each year for 4 years, an insect species increased its population within a locality by the number equal to half of the population of the preceding year. If there were 16,200 insects of the species in the locality at the end of the four-year period, how many insects of the species were in the locality at the beginning of the four-year period?

A. 2,600
B. 2,800
C. 3,000
D. 3,200
E. 3,400

Source: GMAT Free

It seems that GMAT Free just rewords OG and GMAT Prep questions: https://gmatclub.com/forum/each-year-fo ... 35487.html
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Joined: 21 Mar 2016
Posts: 523
Re: Each year for 4 years, an insect species increased its population with  [#permalink]

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15 Apr 2017, 12:58
let x be in the beginning
at the end of 1st year = 3/2 of x
at the end of 4th year = (3/2)^4 of x = 16200

solving for x gives 3200
Re: Each year for 4 years, an insect species increased its population with &nbs [#permalink] 15 Apr 2017, 12:58
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