Question: In Example 6, change 1/2 to 1/3 and then find the sum. Data from Example 6 Find the sum of the first seven terms of

In Example 6, change 1/2 to 1/3 and then find the sum.

Data from Example 6

Find the sum of the first seven terms of the geometric sequence for which the first term is 2 and the common ratio is 1/2. We are to find S_n, given that a1 = 2, r = 1/2 and n = 7. Using Eq. (19.6), we have

S = 2(1 (4)) _ 2(1 8) 1- 1 = 4 127

S = 2(1 (4)) _ 2(1 8) 1- 1 = 4 127 128 127 32

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