Question: In Example 4, change seventh to tenth. Data from Example 4 Find the seventh term of the geometric sequence for which the second term is
In Example 4, change “seventh” to “tenth.”
Data from Example 4
Find the seventh term of the geometric sequence for which the second term is 3, the fourth term is 9, and r > 0.
To get from the second term to the fourth term, we must multiply by the common ratio twice. Thus, 9 = 3r2 , r = √3 (because r > 0) Now, to get from the fourth term to the seventh term, we must multiply by the common ratio 3 times. Therefore,
a7 = 9r3 = 9(√3)3 =27√3
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