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[" Example "4" In an A.P.if "m^(" th ")"...

[" Example "4" In an A.P.if "m^(" th ")" term is "n" and the "n^(" th ")" term is "m" ,where "m!=n,6],[" term."],[" Solution We have "a_(m)=a+(m-1)d=n],[" and "quad a_(n)=a+(n-1)d=m],[" Solving (1) and "(2)" ,we get "],[qquad [(m-n)d=n-m," or "d=-1,],[" and "quad a=n+m-1],[" Therefore "a_(p)=a+(p-1)d],[=n+m-1+(p-1)(-1)=n+m-p]],[" Hence,the "p^(" th ")" term is "n+m-p" ."]

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