Solve for S6 S_6=(3(1-2^6))/(1-2)

$S_{6} = \frac{3 (1 - 2^{6})}{1 - 2}$

Simplify the numerator.

Raise $2$ to the power of $6$ .

$S_{6} = \frac{3 (1 - 1 \cdot 64)}{1 - 2}$

Multiply $- 1$ by $64$ .

$S_{6} = \frac{3 (1 - 64)}{1 - 2}$

Subtract $64$ from $1$ .

$S_{6} = \frac{3 \cdot - 63}{1 - 2}$

$S_{6} = \frac{3 \cdot - 63}{1 - 2}$

Simplify the expression.

Subtract $2$ from $1$ .

$S_{6} = \frac{3 \cdot - 63}{- 1}$

Multiply $3$ by $- 63$ .

$S_{6} = \frac{- 189}{- 1}$

Divide $- 189$ by $- 1$ .

$S_{6} = 189$

$S_{6} = 189$

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