Find the possible values for the missing term in the geometric sequence:
4, ?, [tex]\frac{1}{36}[/tex]
Answer (2)
Use property of geometric sequence:
4 , x , 36 1 4 x = x 36 1 x 2 = 4. 36 1 x 2 = 9 1 x = ± 9 1 x = ± 3 1
The missing term in the geometric sequence can be either 3 1 or − 3 1 . This is determined by finding the common ratio between the terms. Using the properties of geometric sequences, we solved for the missing term successfully.
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