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) Answer Attempt 2 out of 2 square

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).Given sequence: 100, 123, 151.29,...Step 1: Find the common ratio (r).To find the common ratio, we can divide any term by its previous term.r = 123 / 100 = 1.23Step 2: Find the first term (a1).The first term (a1) is the first number in the sequence.a1 = 100Step 3: Use the formula for the sum of a finite geometric series.The formula for the sum of a finite geometric series is: Step 4: Substitute the values into the formula. Step 5: Calculate the sum. Therefore, the sum of the first 8 terms of the given sequence is approximately 1000.00.