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

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

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New post 14 Apr 2017, 21:31
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68% (02:14) correct 32% (02:15) wrong based on 41 sessions

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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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Re: Each year for 4 years, an insect species increased its population with  [#permalink]

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New post 15 Apr 2017, 02:51
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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Re: Each year for 4 years, an insect species increased its population with  [#permalink]

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New post 15 Apr 2017, 13:58
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, 13:58
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