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imc

prealgebra junior

Problem

Let X and Y 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
(A)
(B)
(C)
(D)
Solution
We see that both sequences have equal numbers of terms, so reformat the sequence to look like: From here it is obvious that .
Final answer
A