Unexpected fascinating usage of infinite geometric series to find last three digits of floor value

Автор: My One Fiftieth Of A Dollar

Загружено: 2022-04-18

Просмотров: 153

Описание: Credit to Guy Hoghton whose comment at the Math Booster Channel was inspiration of infinite geometric series solution to finding the last three digits of the floor(10^105/(10^21+5)).
Recognizing that arithmetic manipulations leads to the closed form for sum of infinite geometric series is genius!

By dividing the numerator and denominator of the fraction by 10^21, one could observe the argument of the floor functions could be written as the first term of the series divided by the quantity 1 minus the common ratio.

Leonardo Pozzobon notes that PreMath sometimes works toward an answer that is already known.

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Unexpected fascinating usage of infinite geometric series to find last three digits of floor value

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