Thread: Summation notation of a Taylor seires

I have expanded the taylor series of sin(x) about pi/4 and I am trying to write it in summation notation. However, i can't figure out the expression for the sign of each term. The sign of the terms are ++--++--++--.... i can't figure out how to write this as (-1)^power so that it forms this pattern.

Originally Posted by beachbump

I have expanded the taylor series of sin(x) about pi/4 and I am trying to write it in summation notation. However, i can't figure out the expression for the sign of each term. The sign of the terms are ++--++--++--.... i can't figure out how to write this as (-1)^power so that it forms this pattern.

That gives

You may have to adjust the index and/or exponent.