MATH127 Lecture : Note Week 10.pdf
6 Aug 2014
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You should read appendix e of the textbook and do exercises 1-25 (odd), 29, 31, 33. Suppose we want to add together the rst 100 integers. We can write this using three dots to convey the idea of continuing the pattern. Another way to express the sum s is. In general when we want to add together the numbers ai for i taking on the integer values m through n inclusive, we express this as ai = am + am+1 + am+2 + . We need to recognize the description of ai in our sum. The subscript i just means we want a formula in terms of i. (another way of saying ai would be f (i). ) Suppose we want to represent 32 + 42 + 52 + . We recognize that we are adding together squares of numbers between 3 and 9.
