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Solve for S_6
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S_{6}=\frac{1\left(729-1\right)}{3-1}
Calculate 3 to the power of 6 and get 729.
S_{6}=\frac{1\times 728}{3-1}
Subtract 1 from 729 to get 728.
S_{6}=\frac{728}{3-1}
Multiply 1 and 728 to get 728.
S_{6}=\frac{728}{2}
Subtract 1 from 3 to get 2.
S_{6}=364
Divide 728 by 2 to get 364.