假设5,X,Y,121/8
5 + Y = 2X (等差数列)
121X/8 = Y * Y (等比数列)
X = 8Y^2 / 121
16Y^2 / 121 - Y - 5 = 0
(4Y/ 11)^2 - Y + (11/8)^2 - (11/8)^2 - 5 = 0
(4Y/11 - 11/8)^2 = (121 + 320) / 64 = 441/64
4Y/11 - 11/8 = ±21/8
4Y/11 = 11/8 ± 21/8
因为 5 < Y < 121/8
Y = 11
X = 8
=> 5, 8, 11, 121/8
10,7,4,1,-2 => 10 - 3 * (n-1)
-6,12,-24,48,-96 => -6 * (-2)^n
3,8,13,18,23 => 3 + 5 * (n-1)