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# A parent established a college fund for his daughter. Each year the

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A parent established a college fund for his daughter. Each year the [#permalink]

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09 Jul 2007, 05:02
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67% (02:13) correct 33% (00:58) wrong based on 87 sessions

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A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent's contribution to the fund in the 18th year was$7600.
(2) The parent's contribution to the fund in the 7th year was twice what it was in the 3rd year.
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Jul 2015, 02:24, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Re: A parent established a college fund for his daughter. Each year the [#permalink]

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09 Jul 2007, 05:53
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nick_sun wrote:
A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent’s contribution to the fund in the 18th year was$7600.
(2) The parent’s contribution to the fund in the 7th year was twice what it was in the 3rd year.

d

Assuming the C(m) is the contribution according to month m, and the increase amount per month is k. where C(m)=800+(k-1)*m.
(1) C(18)=800+(18-1)*m=7600; Sufficient;
(2) C(7)/C(3)=(800+(7-1)*m)/(800+(3-1)*m)=2; Sufficient.
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Re: A parent established a college fund for his daughter. Each year the [#permalink]

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09 Jul 2007, 06:40
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wudy wrote:
nick_sun wrote:
A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent’s contribution to the fund in the 18th year was$7600.
(2) The parent’s contribution to the fund in the 7th year was twice what it was in the 3rd year.

d

Assuming the C(m) is the contribution according to month m, and the increase amount per month is k. where C(m)=800+(k-1)*m.
(1) C(18)=800+(18-1)*m=7600; Sufficient;
(2) C(7)/C(3)=(800+(7-1)*m)/(800+(3-1)*m)=2; Sufficient.

Agree with D. This is an arithmetic progression problem.
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22 Jul 2015, 02:03
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Re: A parent established a college fund for his daughter. Each year the [#permalink]

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02 Aug 2016, 00:48
nick_sun wrote:
A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent's contribution to the fund in the 18th year was$7600.
(2) The parent's contribution to the fund in the 7th year was twice what it was in the 3rd year.

From stimulus
$$in Year 1 = 800$$ in Year 2 = 800+x
$$in Year 3 = 800+x+x$$ in Year 4 = 800+x+x+x
(1) The parent's contribution to the fund in the 18th year was $7600. $$in Year 18 = 800+17x 7600=800+17x SUFFICIENT (2) The parent's contribution to the fund in the 7th year was twice what it was in the 3rd year.[/quote]$$ in 7th year =$\$ in 3rd year * 2
800+6x=(800+2x) *2
800+6x=1600+4x
SUFFICIENT

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Re: A parent established a college fund for his daughter. Each year the   [#permalink] 02 Aug 2016, 00:48
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