Let f be a real-valued function with domain R defined by f(x) = x2.  Define a sequence (s1, s2, s3, ...) by s1 = b and sj = f(sj-1), for j = 1,2,3,4...   a) assume that b=1, and find a formula for sn. b) assume that b=3, and find a formula for sn. c) prove the conjecture in part (b).

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