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1. Consider the sequence a = 2-3 -1, a2=22-3=1, a3 = 23-3=5, a4 24 3 13, = - an = 2-3, = defined for

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1. Consider the sequence a = 2-3 -1, a2=22-3=1, a3 = 23-3=5, a4 24 3 13, = - an = 2-3, = defined for positive integers n. Which elements of this sequence are divisible by 5? Wh about 13? Are any elements of this sequence divisible by 65 5 13? Why or why not?

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