loga, logb and logc are the terms of an A.P.Write the relation between a, b, c.
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Given : loga, logb and logc are the terms of an A.P
To find : relation between a, b, c.
Solution:
loga, logb and logc are the terms of an A.P
A.P. - arithmetic progression
Hence Difference will be common in terms
=> log b - log a = log c - log b
=> log (b/a) = log(c/b)
=> b/a = c/b
=> b² = ac
=> a , b & c are in GP
GP - geometric progression
a , b & c are in GP if loga, logb and logc are the terms of an A.P
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