SOLUTION: Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,…to find the following: a)What is r, the ratio between 2 consecutive terms? b)Using the formula for the sum of the first

Algebra ->  Real-numbers -> SOLUTION: Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,…to find the following: a)What is r, the ratio between 2 consecutive terms? b)Using the formula for the sum of the first      Log On


   



Question 33666: Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,…to find the following:
a)What is r, the ratio between 2 consecutive terms?
b)Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Round your answer to 4 decimals.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a) r = 1/2
b) S(n) = a(1-r^n)/(1-r)
S(10)= 1(1-(1/2)^10)/(1/2)
S(10)= (0.999......)/(1/2)=1.9980
Cheers,
Stan H.