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# What's the amount of the fund

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What's the amount of the fund [#permalink]  09 Jul 2007, 04:02
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What's the amount of the fund?

Last edited by nick_sun on 28 Jun 2008, 02:35, edited 1 time in total.
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Re: DS - a parent established a college fund (GS) [#permalink]  09 Jul 2007, 04:53
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: DS - a parent established a college fund (GS) [#permalink]  09 Jul 2007, 05:40
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.
Re: DS - a parent established a college fund (GS)   [#permalink] 09 Jul 2007, 05:40
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