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The sequence `a_(1), a_(2), a_(3), ..... A_(98)` satisfies the relation `a_(n + 1) = a_(n) " for " n = 1, 2, 3,..... 97` and has the sum equal to 4949. Evaluate `sum_(k=1)^(49) a_(2k)`

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2499
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ALLEN-SEQUENCE AND PROGRESSION-Exercise S-1
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