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

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What is the next number in this sequence - 5/3 ; 11/4 ; 19/5 ; 29/6 ; 41/7 ; ?
posted Apr 13, 2015

+1 vote

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

Simple
55/8

+1 vote

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

+1 vote

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

answer Feb 25, 2016 by anonymous
+1 vote

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