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We know that , ifa_(1),a_(2),….a_(n) are in A.P and vice versa . If a_(1),a_(2),…a_(n)are in A.P and viceversa . If a_(1),a_(2)….a_(n) are in A.Pwith common difference d, then for nay b ( gt 0) the numbersb^(a_(1)),b^(a_(2)),b^(a_(3)),....,b^(a_(n)) are in G.Pwith commonratio b^(d) If a_(1),a_(2),.....a_(n) are positive and in G.P with common ratio r , then for any base b(b gt 0), log_(b) a_(1) , log _(b) a_(2) , ..., log_(b) a_(n) are in A.P with common differencelog_(b)r Ifx, y , zare respectively the pth , qth and the rthtermsof an A.P ..., A.P.., as well as of a G.P , then x^(y-z),y^(z-x).z^(x-y) is equal to |
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