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Powerful Properties
Yatir from Israel wrote this article on numbers that can be written as $ 2^n-n $ where n is a positive integer.
Poly Fibs
A sequence of polynomials starts 0, 1 and each poly is given by combining the two polys in the sequence just before it. Investigate and prove results about the roots of the polys.
Age 16 to 18
Challenge Level
Each week a company produces $X$ units and sells $p$ per cent of its stock. How should the company plan its warehouse space? Will the stock fluctuate, or increase or decrease over time, or tend to a limit?
Initially the company has no stock. Show that, over a long period of time, the amount of stock tends to the limit ${100X\over p}$.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.