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A strictly increeasing sequence of positive integers a _(1), a _(2), a _(3)… has the property that for ever positive integer k, the subsequence a _(2k -1), 2 _(2k), a _(2k +1) is geometric and the subsequence a _(2k), 2 _(2k +1), a _( 2k +2) is arithmetic. Suppose that a _(13)= 2016. Find a _(1). |
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