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Use the geometric mean to find the seventh term in a geometric sequence if the 6th term is 6 and the 8th term is 216

A.)36

B.)106

C.)111

D.)176


Please please please help!!!

Respuesta :

Answer:

A

Step-by-step explanation:

The geometric mean of 2 values a and b is [tex]\sqrt{ab}[/tex]

The 7 th term is the geometric mean of the 6 th and 8 th terms

Hence

[tex]a_{7}[/tex] = [tex]\sqrt{6(216)}[/tex] = 36 → A

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