What is the third geometric mean if three geometric means are - ProProfs Discuss
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What is the third geometric mean if three geometric means are inserted between 1 and 256?



A. 64
B. 32
C. 16
D. 4

This question is part of Quiz on Mathematics 10
Asked by Bernsaquino, Last updated: Jun 07, 2019

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2 Answers

D. gray

Building buildings and building intelligence

D. grayBuilder, Builder, Las Vegas
Builder, Builder, Las Vegas

Answered on Jun 04, 2019

The correct answer to this question is A, 64. To find a geometric mean, the current ratio must first be found. Symbolized by the variable r, the common ratio is the constant between the numbers provided. The equation r squared n-1 = an/ a1.

Plugging in the information we have been given, and the equation turns into r 5-1 equals 256/1. 5-1 equals four, and 256 divided by 1 are 256. This makes r4 = 256. Then, we would square root 256 by 4, which equals 4 or r = 4. So, with knowing 4, and inserting three geometric means between 1 and 256, the third would be 64. 1, ____, ____, ____, 256 or 1, 4, 16, 64, 256.

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bernsaquino

Bernsaquino

Answered on Aug 08, 2018

64
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