Question: Fourier Series Expansions and it’s Coefficients question revised

Fourier Series Expansions and it’s Coefficients question revised

Greetings

I've worked through a Fourier Series Expansion and it’s Coefficients and

have a better gasp at a how to explain my question.  If I'm giving a

repeating wave at (T) period of 10 seconds with amplitudes

At 14, 18.7,9,4.1,6.7,6,6.3,8.4,4,2.9 how can I find the Fourier Series

Expansions in Trigonometric form using Maple 11.  I’ve included an

example that I’ve worked through below

http://demos.onewithall.net/discrete_fourier_expansion_coefficients.jpg

I’ve been through maple application center and they have examples of

Fourier Series but the examples they have are examples of equations they

give you.  I’m looking for an example where the equation isn’t known and

all you’re given is the waveform, repeating period in seconds and the

amplitudes. Like in my example.

http://demos.onewithall.net/discrete_fourier_expansion_coefficients.jpg

 Does an example exist? If not what are the steps needed in maple to

accomplish this.

Tia sal2