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Shelley Durocher, the reciprocal of an integer, N = 1/N... 78/15 = 75/15 + 3/15 = 5 +1/5, ergo 5 is the answer..... in the sequence problem, as the sequence goes on, the terms approach 0 (converge on zero). a sequence like 4, 1/4, 8, 1/8, 16, 1/16 would diverge because odd terms (4,8,16,...) are getting bigger (approaching infinity) while even terms (1/4,1/8,1/16...) approach zero.