From the daily archives: Thursday, January 12, 2017
The squares in the diagram are to help us visualise an infinite geometric sum and we are not summing the areas of the squares, simply the lengths along the x-axis. The squares have side lengths given by powers of r: where 0 < r < 1 .
Insert signs and symbols to make each line a true equation.
Hint: You can use square roots and cube roots.
As an extension you could investigate the factorial sign on your calculator and use factorials to answer the same questions for 0 0 0 = 6 and 1 1 1 = […]
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