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Question Find the Sum of the First 8 Terms of the Following Sequence.Round to the Nearest Hundredth If Necessary. 100,123, 151.29, __

Problemas

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)

Roztwór

Alondra professionell · Tutor durante 6 años
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Respuesta

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).r = 123 / 100 = 1.23Step 2: Use the formula for the sum of a finite geometric series to find the sum of the first 8 terms. Substitute the values into the formula: Step 3: Calculate the sum. Therefore, the sum of the first 8 terms of the given sequence is approximately 1000.00.