Difference between revisions of "2003 AIME I Problems/Problem 8"
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== Problem 8== | == Problem 8== | ||
| − | In an increasing sequence of four positive | + | In an [[increasing sequence]] of four [[positive integer]]s, the first three terms form an [[arithmetic progression]], the last three terms form a [[geometric progression]], and the first and fourth terms differ by 30. Find the sum of the four terms. |
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See also == | == See also == | ||
| + | * [[2003 AIME I Problems/Problem 7 | Previous problem]] | ||
| + | * [[2003 AIME I Problems/Problem 9 | Next problem]] | ||
* [[2003 AIME I Problems]] | * [[2003 AIME I Problems]] | ||
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| + | [[Category:Intermediate Algebra Problems]] | ||
Revision as of 21:26, 24 October 2006
Problem 8
In an increasing sequence of four positive integers, the first three terms form an arithmetic progression, the last three terms form a geometric progression, and the first and fourth terms differ by 30. Find the sum of the four terms.
Solution
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