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Grade: 11
        If a b c are in harmonic progression show that a-b/b-c= a/c
2 years ago

Answers : (1)

User
6 Points
							
a, b, c are in HP
 
so 1/a, 1/b, 1/c are in AP.
thus 1/b – 1/a = 1/c – 1/b
=> (a – b) / ab = (b – c) / bc
=> (a – b) / (b – c) = ab / bc
=> (a – b) / (b – c) = a / c
2 years ago
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