The arithmetic sequence an is an increasing sequence, the sum of the first n terms is Sn, and A1, A3 and A9 are equal proportion sequence, S5 = the square of A5. The general term formula of the sequence an is obtained

The sequence an is the arithmetic sequence, A1, A2, A3 are equal ratio sequence. Then, what is a1 + a3 + A9 / A2 + A4 + A10 equal to?

Let the prime minister be a
Then A1 = a, A3 = a + 2D, A9 = a + 8D, A2 = a + D, A4 = a + 3D, A10 = a + 9D
A1, A3 and A9 are equal ratio sequence
(a+2d)^2=a*(a+8d)
a=d
So (a1 + a3 + A9) / (A2 + A4 + A10) = (a + A + 2D + A + 8D) / (a + D + A + 3D + A + 9D)
=13a/16a=13/16

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