Let a_1, a_2, a_3, \dots be an infinite geometric series with positive terms. If a_2 = 10, then find the smallest possible value of a_1 + a_2 + a_3.
So far I get \(a_1 = 5\), \(a_2 = 10\), and \(a_3 = 20\), getting \(35\). Not sure.
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