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