Solve for S8 S_8=(3(1-3^8))/(1-3)

$S_{8} = \frac{3 (1 - 3^{8})}{1 - 3}$

Step 1

Simplify the numerator.

Raise $3$ to the power of $8$ .

$S_{8} = \frac{3 (1 - 1 \cdot 6561)}{1 - 3}$

Multiply $- 1$ by $6561$ .

$S_{8} = \frac{3 (1 - 6561)}{1 - 3}$

Subtract $6561$ from $1$ .

$S_{8} = \frac{3 \cdot - 6560}{1 - 3}$

$S_{8} = \frac{3 \cdot - 6560}{1 - 3}$

Step 2

Simplify the expression.

Subtract $3$ from $1$ .

$S_{8} = \frac{3 \cdot - 6560}{- 2}$

Multiply $3$ by $- 6560$ .

$S_{8} = \frac{- 19680}{- 2}$

Divide $- 19680$ by $- 2$ .

$S_{8} = 9840$

$S_{8} = 9840$

Related Questions