5, 13, 25, 41, 61 , ...... next number will be

M4maths Previous Puzzles

29 Aug 2011 sequence

5, 13, 25, 41, 61 , ......
next number will be

OPtion

1) 85
2) 100
3) 130
4) 74
5) 89
6) 102
7) 94
8) 140
9) 200
10) none of these

Solution

5 = 1 + 4 (sum of squares of two perfect integers)
13 = 4 + 9
25 = 9 + 16
41 = 16 + 25
61 = 25 + 36
next will be 36 + 49 = 85

Correct Option: 1 Best Solution (10)

soumya goyal   12 years AGO

difference b/w 13 and 5 is 8...then 12 then 16...in this way 61+24=85

Like? Yes (9) | No (2)  

Perumal Natarajan   12 years AGO

5+8=13
13+12=25
25+16=41
41+20=61
61+24=85

Like? Yes (5) | No (2)  

nutan garla   12 years AGO

13-5=8
25-13=12
41-25=16
61-41=20
x-61=24
so x=85...

Like? Yes (3) | No   

virendra   12 years AGO

5-13 = 8
13-25 = 12
25-41 = 16
41-61 = 20
61-85 = 24
(difference between every no is +4 more than previous one )

Like? Yes (2) | No (1)  

arun sabat   12 years AGO

the difference between two successive number is increasing by 4 every time

Like? Yes (2) | No (1)  

SHRI KANT   12 years AGO

it's follow the following adding sequence-
8,12,16,20,24....
means-

5+8=13
13+12=25
25+16=41
41+20=61
61+24=85

Like? Yes (2) | No (1)  

Arun kumar   12 years AGO

Difference between each intervel is added by Previous interval + 4.

Like? Yes (1) | No (1)  

Arun kumar.V   12 years AGO

Difference between each intervel is added by Previous interval + 4.

Like? Yes (1) | No (1)  

akshay tr   12 years AGO

13-5=8
25-13=12
41-25=16
61-41=20
therefor next number=61+24=85

Like? Yes (1) | No (1)  

P.K.DHARMA   12 years AGO

13-5=8
25-13=12
41-25=16
61-41=20
it increses by 4 in each hence 61+24=85

Like? Yes (1) | No (2)