Question Find the sum of the first 8 terms of the following sequence.Round to the nearest hundredth if necessary. 100,123, 151.29, __ Sum of a finite geometric series: S_(n)=(a_(1)-a_(1)r^n)/(1-r)

To find the sum of the first 8 terms of the given sequence, we need to identify the common ratio (r) and the first term (a1).<br /><br />Given sequence: 100, 123, 151.29,...<br /><br />Step 1: Find the common ratio (r).<br />r = 123 / 100 = 1.23<br /><br />Step 2: Use the formula for the sum of a finite geometric series to find the sum of the first 8 terms.<br />$S_{n}=\frac {a_{1}-a_{1}r^{n}}{1-r}$<br /><br />Substitute the values into the formula:<br />$S_{8}=\frac {100-100(1.23)^{8}}{1-1.23}$<br /><br />Step 3: Calculate the sum.<br />$S_{8}=\frac {100-100(1.23)^{8}}{1-1.23} \approx 1000.00$<br /><br />Therefore, the sum of the first 8 terms of the given sequence is approximately 1000.00.