Find the next term in the given series:

4/9, 9/20, 19/42, 39/86- 17/40
- 20/42
- 79/174
- 23/45
- 30/54

Option 3 : 79/174

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In the given series, the numerators are +5, +10, +20 and the denominators are +11, +22, +44…

First term = 4/9

(4 + 5)/(9 + 11) = 9/20

(9 + 10)/(20 + 22) = 19/42

(19 + 20)/(42 + 44) = 39/86

(39 + 40)/(86 + 88) = 79/174

∴ Next number in the series is 79/174
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