Cut the knot: learn to enjoy mathematics
A math books store at a unique math study site. Learn to enjoy mathematics.
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Manifesto: what CTK is about Buying a book is a commitment to learning Things you can find on CTK Email to Cut The Knot Recommend this page

What's next?

The applet below presents you with a sequence of numbers. It's your task to surmise the pattern and guess what would be the next term. Sometimes a pattern may not be unique. This may be very frustrating for which I am sorry. However, this exercise besides being useful and sometimes also enjoyable occupation, affords an opportunity to discuss topics that I consider interesting.

  <hr> <h3> This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at, download and install Java VM and enjoy the applet. </h3> <hr>

Algorithms used

The applet randomly selects one of the following algorithms. In turn, each of the algorithms has its own random parameters which are mostly coefficients in various formulas.

Copyright © 1996-2008 Alexander Bogomolny