MathDB
Sequence Blocked

Source: 2022 AMC10A #20

November 11, 2022
AMCAMC 102022 AMC 10a2022 AMCSequencesarithmetic sequencegeometric sequence

Problem Statement

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?
<spanclass=latexbold>(A)</span>190<spanclass=latexbold>(B)</span>194<spanclass=latexbold>(C)</span>198<spanclass=latexbold>(D)</span>202<spanclass=latexbold>(E)</span>206<span class='latex-bold'>(A) </span>190\qquad<span class='latex-bold'>(B) </span>194\qquad<span class='latex-bold'>(C) </span>198\qquad<span class='latex-bold'>(D) </span>202\qquad<span class='latex-bold'>(E) </span>206