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# Geometric Sequence Questions

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Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27... 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? Carry all calculations to 7 significant figures.
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? Carry all calculations to 7 significant figures.
d) What observation can make about the successive partial sums of this series? In particular, what number does it appear that the sum will always be smaller than?

##### Solution Summary

Step by step procedure for the calculation of problems geometric series, including partial sums and the common ratio is given in an attachment.

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