Question 34609This question is from textbook
: 3) 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?
Answer: 1/2
Show work in this space. r=(1/2/1=1/4/1/2)
r=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.
Answer:
Show work in this space.
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.
Answer:
Show work in this space.
d) What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?
Answer:
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Formula for Sum of n terms
S(n)=a[1-r^n]/(1-r)
S(4)=1[1-(1/2)^4]/(1-(1/2)] = 1.8750...
S(12)= 1[1-(1/2)^12]/[1-(1/2)]=1.9999...
Getting close and closer to "2".
Cheers,
Stan H.
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