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2011 AMC 10A Problem 4

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2011 AMC 10A Problem 4AMC 10 Step by Step

Name: Date: October 28, 2026

Sequences & Series · difficulty 1 of 5 · about 2 min · position P1-10

Let $X$ and $Y$ be the following sums of arithmetic sequences: $\begin{array}{rcl} X &=& 10 + 12 + 14 + \cdots + 100, \\ Y &=& 12 + 14 + 16 + \cdots + 102. \end{array}$ What is the value of $Y - X$ ?

A) $92$
B) $98$
C) $100$
D) $102$
E) $112$

2011 AMC 10A Problem 4

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