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help for time series basic operations


I am a quantitative analyst and for the first time i am using Mathematica. So, I
am sorry if my question seem "very easy (almost stupid)" but i need some helps
to begin to understand Mathematica

I have a time series 
a:=[a_1,a_2,a_3,a_4,...a_n]
how can i do to subtract each element for the previous one?:

b:=[a_2 - a_1, a_3 - a_2, a_4 - a_3,.....,a_n - a_n-1]

Thanks

Paolo Tarpanelli


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