课程: Programming Foundations: Numerical Mathematics and Calculations

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课程: Programming Foundations: Numerical Mathematics and Calculations

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- [Instructor] We had a lot of fun exploring arithmetic and geometric progressions and learned useful formulas for calculating the sum of the first n terms. When we calculate the sum of the finite sequence, we'll call it a partial sum of a finite series. For example, if I have a sequence of the first six odd numbers, that is one, three, five, seven, nine, 11, then the partial sum will be equal to 36. We can easily calculate it by heart or using the formula we've learned in the previous lesson. So, Sn, where a one equals one, n equals six, d equals two, so S six equals 36. We usually represent a partial sum using the special summation symbol that is a Greek letter sigma, written as. In the case when we write Sn with values below sigma n equals one and above sigma six, it means sum all the way starting from n equals one to the n equals six. It has many capabilities for example, the above sequence of the first six…

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