# If a, b, c are GP

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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