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PolarNik [594]
3 years ago
6

Find two geometric means between 10 and 1250.

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0
Finding two geometric means between 10 and 125:
a 1 = 10,  a 4 = 1250
a 4 = a 1 * q^3
1250 = 10 * q^3
q^3 = 1250 : 10
q^3 = 125
q = 5
a 2 = 10 * 5 = 50
a 3 = 10 * 5² = 10 * 25 = 250
Answer: The two geometric means are: 50 and 250, since 10, 50, 250 , 1250 forms a geometric sequence.
 

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