Insert 6 geometric means between 1/8 and 16
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What is the insert four geometric means between 2 and 512?
Solution: If 4 geometric means are to be inserted between 2 and 512, the first term = a = 2 …(1)
and the sixth term = ar^5 = 512 …(2).
Divide (2) by (1): r^5 = 512/2 = 256 = 3.031433133^5, or r = 3.031433133.
So, the 4 geometric means between 2 and 512 are 6.062866266, 18.37917307, 55.71523421. 168.897007. Answer.
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