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OpenStudy (anonymous):
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 2 digits of t3 = 3^3^3^3 ? Show that the last 10 digits of tk are the same for all k ≥ 10
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