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Find the Sum of the Following Geometric Series: X3, X5, X7, ... to N Terms

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प्रश्न

Find the sum of the following geometric series:

x3, x5, x7, ... to n terms

योग
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उत्तर

The given G.P. is  x3, x5, x7 ........

Here, a = x3 and r = x2 

`"S"_"n" = (a(1 - r^n))/(1 - r)`

= `(x^3[1 - (x^2)^n])/(1 - x^2)`

= `(x^3(1 - x^(2n)))/(1 - x^2)`

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