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if a,b,c are in arithmetic progression and geometic progression then condition for A.P = G.P

if a,b,c are in arithmetic progression and geometic progression then condition for A.P = G.P

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1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,
please find answer to your question below
since a,b,c are in AP 2b=a+c.....(1)
as also they are in GP b2=ac.......(2)
from 1 and 2 we get ((a+c)/2)2=ac
(a+c)2=4ac
(a-c)2=0so a=c
so a=b=c is the condition for AP=GP

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