Answer :

To prove: , are in AP.


Given: a, b, c are in GP


Formula used: (i)


As, a, b, c are in GP



Taking log both side


log b – log a = log c – log b


2log b = log a + log c


Dividing by log m





Whenever any number a,b,c are in AP then 2b = a+c, considering this and the above equation we can say that , are in AP


Hence proved


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