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Mathematics 21 Online
OpenStudy (anonymous):

what does sequence have to do with trig?

OpenStudy (turingtest):

which sequence?

OpenStudy (anonymous):

the one with a big ∑

OpenStudy (turingtest):

That's called a series. The symbol is called Sigma A sequence means you do not add up the terms, a series means you do. There are a number of series related to trig functions, but I am guessing you mean the Taylor series expansion of sine and cosine...\[\cos x=\sum1-\frac{x^2}{2!}+\frac{x^4}{4!}-\frac{x^6}{6!}+\dots\]\[\sin x=\sum x-\frac{x^3}{3!}+\frac{x^5}{5!}-\frac{x^7}{7!}+\dots\]right?

OpenStudy (anonymous):

something like that but that goes into calc very fast when i just grabbed a trig book lol the whole problem when 6 64 ∑ 2 ^-k k=1 this is what the whole thing (problem) looks like

OpenStudy (turingtest):

Most functions f(x) can be written in terms of Taylor series\[\sum_{n=0}^{\infty}\frac{f^{(n)}(a)}{n!}(x-a)^n\]However the problem you posted\[64\sum_{k=1}^{6}2^{-k}\]is a very different one, and has no relation to trig functions that I personally know of.

OpenStudy (anonymous):

:\

OpenStudy (anonymous):

it will be a while before i get to taylor series i only got to limits i am back tracking on trig

OpenStudy (anonymous):

thank you vm

OpenStudy (turingtest):

is that series that I posted second the correct one?

OpenStudy (anonymous):

i was just focusing on what you said not the problem itself that if was or not part of trig at the moment then i looked at the calc part so ty very much :)

OpenStudy (turingtest):

welcome :)

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