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Use The Geometric Mean To Solve Problems

Which of the following numbers are geometric means between a1=10a_1=10  and a9=2560a_9=2560 where r=2r=2 .

Identify the common difference of a geometric sequence given that a1=2a_1=-2 and a6=64.a_6=64.

Which of the following numbers are geometric means between  a1=3a_1=3 and a5=243a_5=243 where r=3r=3 .

Which of the following numbers are geometric means between  a1=4a_1=4 and a6=18a_6=\frac{1}{8} where d=12d=\frac{1}{2} .

Which of the following numbers are geometric means between a1=5a_1=5 and a5=1125a_5=\frac{1}{125} where r=15r=\frac{1}{5} .

Identify the common difference of a geometric sequence given that   a1=4a_1=4 and a6=18.a_6=\frac{1}{8}.

Identify the common ratio of a geometric sequence given that  a1=10a_1=10 and a9=2560.a_9=2560.

Which of the following numbers are geometric means between a1=2a_1=-2  and a6=64a_6=64  where r=2r=-2

Identify the common difference of an arithmetic sequence given that  a1=5a_1=5 and a5=1125a_5=\frac{1}{125} .

Identify the common ratio of a geometric sequence given that a1=3a_1=3  and a5=243.a_5=243.