8
Part of 2003 AIME Problems
Problems(2)
An AP and a GP
Source:
5/11/2006
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.
ratiomodular arithmeticAMCAIMEarithmetic sequencegeometric sequence
Strange Sequence
Source:
12/26/2006
Find the eighth term of the sequence whose terms are formed by multiplying the corresponding terms of two arithmetic sequences.
arithmetic sequence