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If a, b, c in A.P. And a, mb, c in G.P. Then a, mb², c in which sequence??

If a, b, c in A.P. And a, mb, c in G.P. Then a, mb², c in which sequence?? 

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Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago
A,b,c are in A.P hence 2b = a+c  -------------(1)
a,mb,c are in G.P. hence m²b² = ac  ---------------(2)
(2) ÷ (1)
2/m²b = ac/(a+c)
2/m²b = 1/a + 1/c
hence a,m²b,c are in H.P.

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