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Unformatted text preview: 2 above we cant do the same thing for products and quotients. In other words, Formulas Here are a couple of nice formulas that we will find useful in a couple of sections. Note that these formulas are only true if starting at . You can, of course, derive other formulas from these for different starting points if you need to. 1. 2. 3. 4. Here is a quick example on how to use these properties to quickly evaluate a sum that would not be easy to do by hand. Example 1 Using the formulas and properties from above determine the value of the following summation. Solution The first thing that we need to do is square out the stuff being summed and then break up the summation using the properties as follows, Now, using the formulas, this is easy to compute, Doing this by hand would definitely taken some time and theres a good chance that we might have made a minor mistake somewhere along the line....
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 Fall '08
 sc
 Integers

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