To expand this summation notation, that is, to determine the setof addends that we are to sum, we replace any occurance of the dummyvariable in the addend representation with the lower limit of theindex variable. Often is is much more involved than this. Here, that expression is just the index variable. The expression to the right of sigma describes or represents each addend, in terms of the index variable i.Here, the largest value i will take on is 10. The upper limit of summation indicates the largest value the index will take on.Unless indicated otherwise, we increase this value by 1 until we reach the upper limit of summation. Here, the smallest value i will take is 1. The lower limit of summation indicates the smallest value the index will take on. The dummy variable will usually show up one or more times in the expression to the right of the Greek letter sigma.
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