b) the sum of the first 6 terms of the following geometric series: $7, 14, 28, 56, \dots$
$S_{6} = Number I$
(round your answer to the nearest integer if applicable)

Answer

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Answer

So, the sum of the first 6 terms of the geometric series is $- 441$

Steps

Step 1 ：This 6-term geometric series has first term $a_{0} = 7$ and ratio $2$ , so it has value

Step 2 ： $\begin{aligned} \frac{7 (1 - (2)^{6})}{1 - 2} & = 7 (1 - 64) \end{aligned}$

Step 3 ： $\begin{aligned} = 7 (- 63) \end{aligned}$

Step 4 ： $\begin{aligned} = - 441 \end{aligned}$

Step 5 ：So, the sum of the first 6 terms of the geometric series is $- 441$