. Consider the sequence t0 = 3, t1 = 33 , t2 = 33 3 , t3 = 33 3 3 , . . . defined by t0 = 3 and tn+1 = 3tn for n ≥ 0. What are the last two digits in t3 = 33 3 3 ? Can you say what the last three digits are? Show that the last 10 digits of tk are the same for all k ≥ 10.