Euler’s pi0neering Equation by Robin Wilson

Author:Robin Wilson [Wilson, Robin]
Language: eng
Format: epub
ISBN: 9780198794929
Publisher: Oxford University Press
Published: 2017-11-24T00:00:00+00:00

This works out at 264 − 1 = 18,446,744,073,709,551,615 grains, enough wheat to form a pile the size of Mount Everest. Placed end to end they would reach to the nearest star, Alpha Centauri, and back again!

Comparing types of growth

Let’s see how quickly various sequences can grow.

A simple form of growth is linear growth, illustrated by the sequence of counting numbers

–we refer to this sequence by its nth term, n.

Somewhat faster is quadratic growth, involving the perfect squares n2:

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