St. Ives The following is a well-known childrens rhyme:As I was going to St. Ives,I met

Chapter 12, Problem 95

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St. Ives The following is a well-known childrens rhyme:As I was going to St. Ives,I met a man with seven wives;Every wife had seven sacks;Every sack had seven cats;Every cat had seven kits;Kits, cats, sacks, and wives,How many were going to St. Ives?Assuming that the entire group is actually going to St. Ives,show that the answer to the question in the rhyme is a partialsum of a geometric sequence, and find the sum.

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