If the sequence {an} satisfies that A1, a2-a1, a3-a2,... Are equal ratio sequences with 1 as prime minister and 3 as common ratio, then an______

If the sequence {an} satisfies that A1, a2-a1, a3-a2,... Are equal ratio sequences with 1 as prime minister and 3 as common ratio, then an______

Because the sequence {an} satisfies A1, a2-a1, a3-a2... Is an equal ratio sequence with 1 as prime minister and 3 as common ratio, so A1 = 1, an-a (n-1) = 1 * 3 ^ (n-1) = 3 ^ (n-1) (n ≥ 2) by superposition, there are: an = a1 + (a2-a1) + (a3-a2) +... + (an-a (n-1)) = 1 + 3 + 3 ^ 2 +... + 3 ^ (n-1) = 1 * (1-3 ^ n) / (1-3) = (3 ^ n-1) /