AMC 10 Step by Step
Log inSign up
Printable

2011 AMC 10A Problem 4

Include the solutionBack to the problem
2011 AMC 10A Problem 4AMC 10 Step by Step
Name:                             Date: September 13, 2026
Sequences & Series · difficulty 1 of 5 · about 2 min · position P1-10

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

  1. A)

    9292

  2. B)

    9898

  3. C)

    100100

  4. D)

    102102

  5. E)

    112112

Working