next no. of the sequence 5/2, 17/4, 37/6, 65/8, 101/10, ......... will be

prashanthi   11 years AGO

(1*3)+2=5
(3*5)+2=17
(5*7)+2=37
(7*9)+2=65
(9*11)+2=101
(11*13)+2=145 and the below is multiples of 2

Like? Yes (4) | No (1)  

teja   11 years AGO

consider numerator,
5,17,37,65,101.........
17-5=12
37-17=20
65-37=28
101-65=36
the diff b/w num is 8
101+44=145
similarly denominator has a diff of 2

result:145/12

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meda visweswararao   11 years AGO

((2^2)+1)/2,((4^2)+1)/4,.............((12^2)+1)/12

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Niraj   11 years AGO

Nth number will be T(n)=[(2n)^2+1]/2n

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Balakumaran N.A   11 years AGO

Numerator differences : 12,20,28,36,44,...
Denominator: : 2,4,6,8,10,12,....
so, 145/12.

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Arun   11 years AGO

There are two sequences : Numerator/denominator
Numerator is in difference of 8.
17-5=12
37-17=20 (12+8)
65-37=20+8=28
101-65=28+8=36
so the numarator value will be 101+(36+8)=145.

Comparing denominator = 2,4,6,8(Interval of 2)
It will be 12
Thus the answer will be (145/12) Ans

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IQBAL MEHDI   11 years AGO

Nominators are 5,17,37,65,101,......
17-5=12
37-17=20
65-37=28
101-65=36
so,for next number
x-101=44
x=145.
and denominator will be 12
as 2,4,6,8,10,10+2
hence,required number for sequence be:
145/12.

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Neeraj Nair   11 years AGO

It is 145/12 because numerator is square of denominator plus 1.

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Balakrishnan M   11 years AGO

5/2, 17/4, 37/6, 65/8, 101/10, .........
The above sequence is of the form,(x^2+1)/x ,Where x is a multiples of 2.
(2^2+1)/2,(4^2+1)/4,(6^2+1)/6,(8^2+1)/8,(10^2+1)/10,.....
Next number will be (12^2+1)/12

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Aman   11 years AGO

5/2, 17/4, 37/6, 65/8, 101/10, .........
5/2 = (2^2+1)/2
17/4 = (4^2+1)/2
..
..
.
next term = (12^2+1)/12 = 145/12

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sivakumar   11 years AGO

upper part:(add +8)
5+12=17
17+20=37
37+28=65
65+36=101
101+44=145
lower part:(add +2)
2
2+2=4
4+2=6
6+2=8
8+2=10
10+2=12

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Ajay Kashyap   11 years AGO

difference of terms at Upper is as 12, 20,28,36
Pattern of lower terms as 2,4,6,8.....

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anand   11 years AGO

numerator : 5,17,37,65,101 which has a difference of 8, so next numerator is 145.

denominator : 2,4,6,8,10 which has a difference of 2 or it is a even number series, so next number is 12.

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Gulshan Kumar   11 years AGO

Pattern is in form of as:

2^2+1/2, 4^4+1/4, 6^6+1/6, 8^8+1/8, 10^10+1/10.......
hence to complete the sequence:
next should be =12^12+1/12
=145/12
Therefore 3 option is correct

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sagar arora   11 years AGO

next numerater increases by previous (numerator+12
) for 2nd term n (numerator+12+8)for 2nd term onwards

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B.Senthil Kumar   11 years AGO

17-5=12
37-17=20
65-37=28
so diff s 8 and answer s 145/12

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Pratik Goyal   11 years AGO

series is 2*2+1/2 next 4*4+1/4...and so on..

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shwetha P.T.   11 years AGO

In the denomenator its the nowith diff of 2 sothe next no is 12
In the numerator each term is having a diff of 12+n8
so by taking n=1,2,3...
sothe next termis 145
sotheans is145/12

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Praveen Kumar   11 years AGO

All the numbers are of the form (n^2+1)/n where n takes all even integers as values starting from 2, so the next number in the sequence will be for n=12 which is (12^2+1)/12 or 145/12.

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vivek   11 years AGO

difference of 17-5=12,37-27=20,20-12=8
thats y 36+8=41
so 101+41=145
so ans is 145/12

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asim   11 years AGO

series follows numerator = (denominator)^2+1
as 5 = 2^2+1
17 = 4^2+1
37 = 6^2+1
65 = 8^2+1
101 = 10^2+1
hence ans. is 145 = 12^2+1

Like? Yes (2) | No (1)  

Pooja.m.m   11 years AGO

ans is 145/12.
denominator creased by 2
numerator is (denominator)^2 +1.

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parul mishra   11 years AGO

option(3)
numenator of each fraction 2^2+1,4^2+1........12^2+1=145
and denominator=12 interval of 2
so 145/12

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sateesh   11 years AGO

2^2+1/2
4^2+1/4
6^2+1/6
.......
12^2+1/12=145/12

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piyush lathiya   11 years AGO

because in upperside every time increment of 12,20,28,36.....so next increment is 44 . so101+44=145. & in lower side it is increment of 2 every time so next is 12 so ans is 145/12

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Janani   11 years AGO

if you find the difference of the numerators it goes like 12,20,28,36 each one is 8 numbers ahead from the previous one, so add 8 to 36 its 44, add 44 to 101 the answer is 145/12.

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pradeep kumar korikana   11 years AGO

denominator is multile of 2 and numerator is sum of square of respective multiply of 2 and 1
(12^2+1)/12

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ramyachitra   11 years AGO

numerator differ in the terms of (5~17)=12
ie,2*3*2 or 4*3
nxt term (17~37)=20 ie,2*5*2 or 4*5 so multiples of "4 with odd numbers" lly all so ans is 4*11+101=145
denominator is multiple of 2 so,opt 3

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Devendra Marghade   11 years AGO

The sequence is
(Even denominator Square+1)/Even Denominator
So next number will be (12^2+1)/12=145/12

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