Write a sequence that has one geometric mean between 1/3 & 5/27

Question

Mathematics

Miranda Fry

5 February, 08:51

Write a sequence that has one geometric mean between 1/3 & 5/27

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Answers (1)

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Jazmine Garrett · Answer 1

Geometric mean:

1/3 and 5/27

To get the geometric mean:

1) We need to multiply the 2 terms

1/3 * 5/27 = 1*5 / 3*27 = 5/81

2) Because there are only 2 terms involved, we need to get the square root of the product. If 3 terms are involved, we get the cube root and so on.

√5/81 ⇒ √5 : √81 ⇒ √5 / 9