what is the nth term of 1/2,3/4,5/6,7/8..........???

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Please find below the solution to the asked query :

12 , 34 , 56 , 78 .........Numerator have sequence 1 , 3 , 5 , 7 ....Here a=1 , d=3-1=2an=a+n-1dSo, nth term of numerator=1+n-12=1+2n-2=2n-1Denominator have sequence 2 , 4 , 6 , 8 ....Here a=2 , d=4-2=2an=a+n-1dSo, nth term of Denominator=2+n-12=2+2n-2=2nHence , nth term is 2n-12n   ANS...
 
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