Series #9

4/9, 9/20, 19/42, 39/86, ?

79/174 70/130 69/120 89/140

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1 solution

Mahdi Raza
Jan 15, 2020

The next term is determined by breaking the series into numerator and denominator.

Numerator is multiplied by 2 and then 1 is added

Denominator is multiplied by 2 and then 2 is added

Thus the next term is 2 ( 39 ) + 1 2 ( 86 ) + 2 \frac{2(39)+1}{2(86)+2}

= 79 174 \boxed{\frac{79}{174}}

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