# 10.  Find the sum to indicated number of terms in each of the geometric progressions in          $x ^3 , x^5 , x^7 ... n \: \: terms (if \: \: x \neq \pm 1)$

S seema garhwal

$GP=x ^3 , x^5 , x^7 .....................$

$a=x^3\, \, \, and\, \, r=\frac{x^5}{x^3}=x^2$

$S_n=\frac{a(1-r^n)}{1-r}$

$S_n=\frac{x^3(1-(x^2)^n)}{1-x^2}$

$S_n=\frac{x^3(1-x^2^n)}{1-x^2}$

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