Question

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 8,4,2 Sum of a finite geometric series: S_(n)=(a_(1)-a_(1)r^(n))/(1-r)

Answer 1

The sum of the first 8 terms of the sequence 8, 4, 2 is:

S_8 = (8 - 8(1/2)^8)/(1 - 1/2)
S_8 = (8 - 0.00390625)/0.5
S_8 = 15.9921875

Rounding to the nearest hundredth, the sum is approximately 15.99.