Answer
$0.1+0.4+1.6+...+102.4=\displaystyle \sum_{n=1}^{6}0.1(4)^{n-1}$
Work Step by Step
$102.4=0.1(1024)=0.1(4)^5$
$0.1+0.4+1.6+...+102.4=0.1(4)^0+0.1(4)^1+0.1(4)^2+...+0.1(4)^5=\displaystyle \sum_{n=1}^{6}0.1(4)^{n-1}$
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