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1984 AIME Question 1

AIME · 1984 AIME

Question 1

Find the value of $a_2+a_4+a_6+\cdots+a_{98}$ if $a_1,$ $a_2,$ $a_3,$ $\ldots$ is an arithmetic progression with common difference $1,$ and $a_1+a_2+a_3+\cdots+a_{98}=137.$