Simplify \(\frac{3t + 6}{3t}\). The numerator of this fraction will factorise as there is a common factor of 3. This gives \(\frac{3(t + 2)}{3t}\). Now, there is clearly a common factor of 3 between ...

There is a classic algorithm, known to the ancient Greeks, that approximates √2 by a sequence of rational numbers. We generalize this to construct recursively defined rational sequences that converge ...