Question: 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? Please round your answer to 4 decimals.

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.

d) What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?