There is such a series of numbers: A, B, a + B, a + 2B, 2A + 3b, 3A + 5b, 5A + 8b. A, B are constants. Can we write its general term formula an?

There is such a series of numbers: A, B, a + B, a + 2B, 2A + 3b, 3A + 5b, 5A + 8b. A, B are constants. Can we write its general term formula an?

From the third term: an = an-1 + An-2, solve the equation x & sup2; = x + 1 X1 = (- 1 + √ 5) / 2 x2 = (- 1 - √ 5) / 2, we can get: {an-x1 (an-1)} {an-x}