Consider the sequence t0 = 3; t1 = 33; t2 = 333 ; t3 = 3333
; : : : dened by t0 = 3 and
tn+1 = 3tn for n 0. What are the last two digits in t3 = 3333
? Can you say what the
last three digits are? Show that the last 10 digits of tk are the same for all k 10.