A popular nursery happiness states, "As ns was going come St.Ives, i met a guy with 7 wives. Every wife had seven sacks, every sack had seven cats, every cat had seven kitts. Kitts, cats, sacks, wives, how plenty of were going to St. Ives?" Upon being presented with this conundrum, most readers start furiously adding and multiplying numbers in stimulate to calculate the total quantity that objects mentioned. However, the difficulty is a trick question. Because the man and his wives, sacks, etc. Were met through the narrator ~ above the means to St.Ives, they were in reality leavingnot going toSt.Ives. The number going to St.Ives is thus "at least one" (the narrator), but might be an ext since the problem doesn"t mention if the narrator is alone.
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Should a diligent reader however wish to calculate the sum full
the kitts, cats, sacks, wives, to add the man himself, the price is quickly given through the geometric series
 (1)
with and . Therefore,
 (2)
Computing the sum clearly (but group cleverly), A comparable question was provided as problem 79 of the Rhind papyrus, date from 1650 BC. This problem pertains to 7 houses, each with 7 cats, each with 7 mice, each through 7 spelt, each v 7 hekat. The total number of items is then (9)
(Wells 1986, p.71). In turn, the problem of the Rhind papyrus is repeated inFibonacci"s Liber Abaci (1202, 1228). REFERENCES:Eisele, C. "The Liber Abaci v the eye of Charles S.Peirce."Scripta Math. 17, 236259, 1951. Gillings, R.J. Mathematicsin the moment of the Pharaohs. Cambridge, MA: MIT Press, 1972. Wells, D. The Penguin dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, p.71, 1986. Referenced top top cgtower.comAlpha: St. Ives Problem CITE THIS AS:Weisstein, Eric W. "St. Ives Problem."From cgtower.comA cgtower.com internet Resource. Https://cgtower.com/StIvesProblem.html cgtower.com internet ResourcesMathematica» The #1 device for producing Demonstrations and anything technical.  cgtower.comAlpha» Explore anything with the an initial computational expertise engine.  cgtower.com Demonstrations Project» Explore thousands of complimentary applications across science, mathematics, engineering, technology, business, art, finance, society sciences, and more.  Computerbasedmath.org» Join the initiative for modernizing mathematics education.  Online Integral Calculator» Solve integrals with cgtower.comAlpha.  Stepbystep Solutions» Walk through homework troubles stepbystep from beginning to end. Hints assist you shot the following step on her own.  cgtower.com trouble Generator» Unlimited random practice problems and also answers with integrated Stepbystep solutions. Practice online or do a printable examine sheet.  cgtower.com education and learning Portal» Collection of teaching and learning tools developed by cgtower.com education experts: dynamic textbook, class plans, widgets, interactive Demonstrations, and also more.
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