What is the next number in this sequence - 5/3 ; 11/4 ; 19/5 ; 29/6 ; 41/7 ; ?

Question

Find the number that comes next in the following series:

3, 7, 12, 14, 16, 19, 21, 25, 30, 41, 45, 52, 54, 56, 59, 61, 65, 70, ?

Answer 1

In the series denominator is incremented by 1.
Let denominator be D.
Let numerator be N.
N=(D^2-(D+1))
hence the answer is 55/8.

Answer 2

Simple
55/8

Answer 3

5/3 = 1 (2/3)
11/4 = 2 (3/4)
19/5 = 3 (4/5)
29/6 = 4 (5/6)
41/7 = 5 (6/7)
Similarly
6 (7/8) = 55/8

Comments

Please explain

Answer 4

55/8 Reasoning Numerator
5+6=11 +8=19 +10=29 +12=41 +14=55
Denominator
3,4,5,6,7,8

Comments

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Answer 5

55 the numerator is square of he denominator minus one more than the denominator.