Find the sum of the following series. Round to the nearest hundredth if necessary. \[ 8+16+32+\ldots+1048576 \] Sum of a finite geometric series: \[ S_{n}=\frac{a_{1}-a_{1} r^{n}}{1-r} \] Answer: Submit Answer

Step 1 ：Identify the series as geometric. The first term is \(a_1 = 8\) and the common ratio is \(r = 2\).

Step 2 ：Use the formula for the sum of a finite geometric series: \(S_n = \frac{a_1-a_1 r^n}{1-r}\).

Step 3 ：Plug in the values: \( \frac{8 - 8(2^{20})}{1-2} = \frac{1048576 - 8}{1-2} = 1048568\).