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Mathematics, 19.03.2020 00:24 AmityHeart

. 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.

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. Consider the sequence t0 = 3, t1 = 33 , t2 = 33 3 , t3 = 33 3 3 , . . . defined by t0 = 3 and tn+1...
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