the common ratio in geometric series is 0.5 and the first term is 256. what is the sum of the first 6 terms in the series?

501.76

Step-by-step explanation:

common ratio r = 0.5

first term a = 256

sum of G. p = Sn = a (r^n - 1) / r-1

sum of the first 6 terms =

S6 = 256 (0.5^6 - 1) / 0.5 - 1

= 256 (0.0156 - 1) / -0.5

= 256 (-0.98) / -0.5

= - 250.88/-0.5

S6 = 501.76