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Default geometrical progression

Hi there , i've a question , how can i do a geometrical or arithmetical
progression in one function at one cell in excel as example
this series ˆ‘_(i=0)^n–’〖xi〗^2 ˆ¶xi=x(i-1)+ 1

and other similar series and that function request x when i = o and n
and thanks
 
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