There are four numbers in an equal ratio sequence. Subtract 1,1,4,13 from the four numbers to form an equal difference sequence. Then the four numbers are ()

Let these four numbers be a, AQ, AQ ^ 2, AQ ^ 3, so that they form an arithmetic sequence, we get four numbers are A-1, AQ-1, AQ ^ 2-4, AQ ^ 3-13, so AQ-1 - (A-1) = AQ ^ 2-4 - (AQ-1) = AQ ^ 3-13 - (AQ ^ 2-4) AQ-1 - (A-1) = AQ ^ 2-4 - (AQ-1), that is AQ ^ 2-2aq + A-3 = 0, a (Q-1) ^ 2 = 3, a = 3 / (Q-1) ^ 2 AQ-1 - (A-1)

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