Given a0 = 1 and an+1 = P 3a 2 n + 2an 3 (a) If P = 64, find the first ten terms of the sequence. Guess the value of the limit based on these values. (b) If P = 216, find the first ten terms of the sequence. Guess the value of the limit based on these values. (c) In a print statement, predict the limit of the sequence for an arbitrary value of P. (d) Assuming the limit exists (an+1 → L and an → L), find the limit for an arbitrary value of P. (NOTE: you will want to assume L and P are both real and positive)