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if the p th ,q th and r th terms of a G.P are a,b,c respectively.Prove that a raised to q-r b raised to r-p c raised to p-q =1

Let A and R be the first term and common ratio of G.P. respectively.

n th term of G.P., an = AR n – 1

p th term of G.P. = a

? AR p – 1 = a ...(1)

q th term of G.P. = b

? AR q – 1 = b ...(2)

r th term of G.P. = c

? AR r – 1 = c ...(3)


 


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