Answer
$10+30+90+...+7290=\displaystyle \sum_{n=1}^{7}10(3)^{n-1}$
Work Step by Step
$7290=10(729)=10(3)^6$
$10+30+90+...+7290=10(3)^0+10(3)^1+10(3)^2+...10(3)^6=\displaystyle \sum_{n=1}^{7}10(3)^{n-1}$
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