Question

harmonic Mean of 2, 4, 8 be 24/7, the value of a is​

Answer 1

Answer:

2*4*8=64

Step-by-step explanation:

24/7=21/4=20/5=4/1answer hoga

Answer 2

The value of a is equal to 4.

Given:

The harmonic mean of three numbers: 2, a, 8 is = 24/7

To find :

The value of a.

Solution:

Mathematically,

If x, y, and z are three numbers in harmonic progression, then their harmonic mean is calculated as:

H.P. = 3/{1/x + 1/y + 1/z}

Now, according to the question;

The harmonic mean of three numbers: 2, a, 8 is = 24/7

3/{1/2 + 1/a + 1/8} = 24/7

24×{1/2 + 1/a + 1/8} = 3×7

{1/2 + 1/a + 1/8} = 7/8

1/a = 7/8 - 1/8 - 1/2 = 7/8 - 1/8 - 4/8

1/a = 2/8 = 1/4

a = 4

Hence, the value of a is equal to 4.

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