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lab7 - COP 3502 Lab Notes More on Summations The last...

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COP 3502 – Lab Notes More on Summations The last couple of labs introduced you to the concept of order analysis and dealing with summations that arise from the analysis of the number of statements executed by an algorithm. This week we will look further at dealing with summations in which the starting index of the summation is a value other than 0 or 1. Summations where the index begins at a number greater than 1 We know how to solve summations where the index begins at 0 or 1. How do we handle summations where the index begins at a number greater than 1? We will look at two methods, one where we calculate the difference between two sums and one where we convert the sum we want to solve into a sum where the index starts at 0 or 1. Method I – subtract the difference between two summations We want to solve: = 10 4 i i which is equal to (4+5+6+7+8+9+10). But, this is equal to (1+2+3+4+5+6+7+8+9+10) – (1+2+3).
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