Printable

2022 AMC 10A Problem 20

Include the solution Back to the problem

2022 AMC 10A Problem 20AMC 10 Step by Step

Name: Date: September 13, 2026

Sequences & Series · difficulty 4 of 5 · about 6 min · position P16-20

A four-term sequence is formed by adding each term of a four-term arithmetic sequence of positive integers to the corresponding term of a four-term geometric sequence of positive integers. The first three terms of the resulting four-term sequence are $57$ , $60$ , and $91$ . What is the fourth term of this sequence?

A)
$190$
B)
$194$
C)
$198$
D)
$202$
E)
$206$

2022 AMC 10A Problem 20

Working