Sums of Geometric Sequences
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Use the geometric sequence of numbers 1, 1/3, 1/9, 1/27...to find the following: What is r, the ration between 2 consecutive terms? a)Answer and Show work : b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first terms? Carry all calculations to 6 decimals on all assignments. Answer and Show work.
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 the 6 decimals on all assignment. Answer and show work. d) What observation can you make about the successive partial sims of this series? In particular, what whole number does it appear that the sum will always be smaller than? Answer:
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Sums of geometric sequences are investigated.
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