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Consider the sequences (r) and (Sn) defined recursively by ro 1, so =0, and n+1 = rn/2, Sn+1 = Sn+n+1 for n0. (a) What

 

Consider the sequences (r) and (Sn) defined recursively by ro 1, so =0, and n+1 = rn/2, Sn+1 = Sn+n+1 for n0. (a) What are the formulas for the nth terms rn and s, of these sequences? (b) What is the floating point binary representation of sn?

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a Lets first find the formulas for the nth terms rn and sn of the sequences Given that r0 1 and rn1 ... blur-text-image

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