Consider the infinite geometric sequence 160, 80p 2, 80, 40p2, .... a Write the 12th

Chapter 25, Problem 36

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Consider the infinite geometric sequence 160, 80p 2, 80, 40p2, .... a Write the 12th term of the sequence in the form k p2 where k 2 Q : b Find exactly the following sums for the corresponding geometric series. Give your answer in the form a + b p2 where a, b 2 Z : i the partial sum S10 ii the sum S of the infinite series.

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