If a, b, c in A.P. And a, mb, c in G.P. Then a, mb², c in which sequence??
Sachin , 6 Years ago
Grade 12th pass
Magical Mathematics[Interesting Approach]> If a, b, c in A.P. And a, mb, c in G.P. T...
1 Answers
Arun
Last Activity: 6 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.
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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