Math Gold Medalist

Lor

2023 AMC 10B 

Problem 23

An arithmetic sequence of positive integers has $n\ge3$ terms, initial term $a$, and common difference $d>1$” width=”41″ height=”13″ style=”border-width: 0px; border-style: initial; vertical-align: 0px;”>. Carl wrote down all the terms in this sequence correctly except for one term, which was off by <img decoding=. The sum of the terms he wrote down was $222$. What is $a+d+n$?

$\textbf{(A) } 24 \qquad \textbf{(B) } 20 \qquad \textbf{(C) } 22 \qquad \textbf{(D) } 28 \qquad \textbf{(E) } 26$

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   Solution