Mathematics, 22.02.2021 21:50 abraham1366

Consider the sequence t0 = 3, t1 = 3^3, t2 = (3^3)^3, t3 = ((3^3)^3)^3 , . . . defined by t0 = 3 and tn+1 = 3tn for n > 0.

What are the last two digits in t3 = ((3^3)^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.

Answers: 3

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Consider the sequence t0 = 3, t1 = 3^3, t2 = (3^3)^3, t3 = ((3^3)^3)^3 , . . . defined by t0 = 3 an...