It is known that the sequence {an} is an equal ratio sequence, A2 = 6, A5 = 162 (1) find the general term formula of the sequence {an} (2) if the first term n and Sn of the sequence {an} are more than 50, find the minimum value of n

It is known that the sequence {an} is an equal ratio sequence, A2 = 6, A5 = 162 (1) find the general term formula of the sequence {an} (2) if the first term n and Sn of the sequence {an} are more than 50, find the minimum value of n

(1) Because {an} is an equal ratio sequence, the solution of A5 / A2 = q ^ 3 = 27 leads to q = 3 and A1 = 2. Therefore, the general formula of sequence {an} is: an = 2 * 3 ^ (n-1)
(2) Sn = 2 (1-3 ^ n) / (1-3) > 50 solution: n > = 4, so the minimum value of n is 4