Question
Download Solution PDFif arithmetic mean, geometric mean and harmonic mean between two numbers a and b are A, G & H then A, G H will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
If A is the arithmetic mean between a and b,
If G is the geometric mean between a and b,
⇒ G = √ab
If H is the harmonic mean between a and b,
Now, AH =
⇒ AH = ab
⇒ AH = G2
This is a form of a G.P.
Hence, If the arithmetic mean, geometric mean, and Harmonic mean between two numbers 'a' and 'b' are A, G, and H respectively, then A, G, H will be in geometric series.
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