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Day24-1432class - Math 1432 www.math.uh.edu/~pamb THINK Add...

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Math 1432 www.math.uh.edu/~pamb THINK: Add together three numbers each time to total 38. Numbers may be used more than once. 2 4 6 8 10 12 14 20 How many different combinations are there to do this?

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Sequences of Real Numbers Section 10.2
From before: Formally, a sequence of numbers is a function from the positive integers to the real numbers. One of the most important aspects (from our perspective) will be something called the “limit of a sequence.” Sequences of numbers do not have to have a pattern or nice behavior. Most of the sequences that we deal with will have a pattern and reasonably nice behavior. The pattern will come from a generating formula. The nice behavior will come in the form of “limiting behavior”.

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If we know the function a(n), then we use the notation a n to stand for a n and we write one of n a , { } n a or { } n n 1 a = to stand for the sequence a 1 , a 2 , a 3 , . . . a n , a n+1 , . . . In an increasing sequence , the GLB is the first term, and if there is a limit, it is the LUB. In a
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Day24-1432class - Math 1432 www.math.uh.edu/~pamb THINK Add...

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