Saturday, November 20, 2010

thirteen six.

chapter thirteen six.
this week we began chapter thirteen. this is the last chapter before our accumulated midterms. chapter thirteen explains sequences and series. there are many type of sequences but the most common are arithmetic (the adddition sequences) and geometric (the multiplication sequences).
section 13-6 is on the sigma. The sigma is apart of the Greek alphabet, but in math it is used to describe a condensed series. the sigma has three parts.. the top, bottom, and he right side. at the top of the sigma is the limit of summation. at the bottom is k= # where the "k" is the index and the numbers located at both the top and bottom of the sigma are limits of summation. to the side of the sigma is the summand,which is a function.

ex. expanding a sigma..
if k=1 ,the ending number ( above the sigma) is 3, and the summand is 2(k) then the expansion of the sigma would be :
2(1) + 2(2) + 2(3)+ 2(4) * simplify

2+4+6+8

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