You may also like

Converging Product

In the limit you get the sum of an infinite geometric series. What about an infinite product (1+x)(1+x^2)(1+x^4)... ?

Rain or Shine

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

There's a Limit

Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

Golden Eggs

Age 16 to 18 Challenge Level:

(1) You will need to know, or find out, the formula for the area of an ellipse. All you have to do then is solve a quadratic equation.

(2) What happens if you square this strange expression?