Question:
If log a, log b, log c are in A.P. and also log a-log 2b, log 2b-log 3c, log 3c-log a are in A.P., then
If log a, log b, log c are in A.P. and also log a-log 2b, log 2b-log 3c, log 3c-log a are in A.P., then
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A.P. in logarithms implies G.P. in numbers.
Updated On: Mar 19, 2026
- a,b,c are in H.P.
- a,2b,3c are in A.P.
- a,b,c are the sides of a triangle
- none of the above
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The Correct Option is A
Solution and Explanation
From log a,log b,log c in A.P.:
log b=(log a+log c)/(2)⟹ b²=ac
Hence, a,b,c are in H.P.
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