Question 53621
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? 
r=(1/2)/1= 1/2
---------------
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? Please round your answer to 4 decimals.
S(n)=a[(r^(n+1)-1)/(r-1)]
S(10)=1[(1/2)^11 -1)/((1/2)-1]
S(10)=(1/2048 - 1)/(-1/2)
S(10)=1.9990
----------------
c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals.
Same procedure as part "b" but use n=12
Answer should be 1.9999
------------------
Cheers,
Stan H.