Solve for s6 s_6=(6(1-3^6))/(1-3)

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

Step 1

Simplify the numerator.

Raise $3$ to the power of $6$ .

$s_{6} = \frac{6 (1 - 1 \cdot 729)}{1 - 3}$

Multiply $- 1$ by $729$ .

$s_{6} = \frac{6 (1 - 729)}{1 - 3}$

Subtract $729$ from $1$ .

$s_{6} = \frac{6 \cdot - 728}{1 - 3}$

$s_{6} = \frac{6 \cdot - 728}{1 - 3}$

Step 2

Simplify the expression.

Subtract $3$ from $1$ .

$s_{6} = \frac{6 \cdot - 728}{- 2}$

Multiply $6$ by $- 728$ .

$s_{6} = \frac{- 4368}{- 2}$

Divide $- 4368$ by $- 2$ .

$s_{6} = 2184$

$s_{6} = 2184$

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