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
4.5
(262 Votos)
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.