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2004 AMC 10A Problem 18

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2004 AMC 10A Problem 18AMC 10 Step by Step

Name: Date: September 13, 2026

Sequences & Series · difficulty 3 of 5 · about 4 min · position P16-20

A sequence of three real numbers forms an arithmetic progression with a first term of $9$ . If $2$ is added to the second term and $20$ is added to the third term, the three resulting numbers form a geometric progression. What is the smallest possible value for the third term in the geometric progression?

A)
$1$
B)
$4$
C)
$36$
D)
$49$
E)
$81$

2004 AMC 10A Problem 18

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