What is the next number of the following sequence 5/3, 11/4, 19/5, 29/6, 41/7, ?

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13 Apr 2015 Sequence

What is the next number of the following sequence
5/3, 11/4, 19/5, 29/6, 41/7, ?

OPtion

1) 43/8
2) 45/8
3) 47/8
4) 49/8
5) 51/8
6) 53/8
7) 55/8
8) 57/8
9) 59/8
10)61/8

Solution

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
Option 7)

Correct Option: 7 Best Solution (11)

Supriya Mondal   9 years AGO

Difference between numerator increasing by 2+difference between previous two numerator.
And difference between two denominator is 1
So, next term will be 55/8
So, option 7)55/8 will be the right answer

Like? Yes (2) | No   

RAKESH   9 years AGO

5,11,19,29,41,55
+6,+8,+10,+12,+14

(41 + 14) / (7 +1) = 55/8

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sourav pal   9 years AGO

Numerator 5, 11, 19, 29, 41, .... so next is 55
Similarly denominator 3, 4, 5, 6,7 ... so next is 8

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Daras rani   9 years AGO

Numerator:
5+6=11
11+8=19
19+10=29
29+12=41
41+14=55
And the denominator gets increased by one..

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praveen kumar   9 years AGO

ans 7 is correct

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Surit Datta   9 years AGO

Here the numerator is increasing by 2,like the following way,
6,8,10,12,14......
and the denominator is increasing by 1 , like
3,4,5,6,7,8.....
so the next number will be,
41 + 14 / 7 + 1 = 55/8
So option 7
That's it.

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umesh   9 years AGO

the denominator is increasing by 1
and numerator difference is increasing by 2
so 7 is right
11-5=6,19-11=8,29-19=10,41-29=12 so 41+14=55 numertor
and denominator is 8

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Samyak   9 years AGO

5/3 ,11/4,19/5,.. So in top add 6, 8 , 10, 12 and in the bottom it add 1 like 3,4,5,6.. So the ans will be 55/8

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Jay parmar   9 years AGO

option 7 is right

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Anuj Rai   9 years AGO

As the series denominator is increasing like 2,3,4 and the numerator is increasing with a multiple of 2

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ABHINAV PUSHPAM   9 years AGO

Numerator is increased by 6,8,10,12, so now increment will be 14. I.e 41+14= 55
Denominaor is icreased by 1
So answer will be 55/8
Option 7)

Like? Yes (1) | No