Question

Consider the sequence defined recursively by an+1 = (an + 1)/2 if an is an odd...

Consider the sequence defined recursively by

an+1 = (an + 1)/2 if an is an odd number

an+1 = an/2 if an is an even number

(a) Let a0 be equal to the last digit in your student number, and compute a1, a2, a3, a4.

(b) Suppose an = 1, and find an+4.

(c) If a0 = 4, does limn→∞ an exist?

Math   Calculus   
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