Question

If 4, x, 9 are in H. P then x=--
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Answer 1

Answer:

The answer is in the picture

Answer 2

Final answer: x = 72 / 13

Given that: We are given 4, x, 9 are in H. P.

To find: We have to find x.

Explanation:

• By taking the reciprocal of terms in the series which are in an arithmetic progression AP we get corresponding term in harmonic  progression abbreviated as HP. Where the series is a series of non-zero numbers.

• So, nth term of harmonic progression HP = 1 / (nth corresponding term in arithmetic progression A.P)

• Consider the sequence p, q, r, s… are in an arithmetic progression, the corresponding harmonic progression can be written as

           1/p, 1/q, 1/r, 1/s, …

• Consider three numbers p,q,r are in HP, then

           q = (2*p*r) / (p + r)

• Here given that 4, x, 9 are in HP, so x = (2 * 4 * 9) / (4 + 9)

           x = 72 / 13

To know more about the concept please go through the links

https://brainly.in/question/2264088

https://brainly.in/question/7700932

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