What is the next no. of the following sequence 5, 13, 25, 41,......

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01 Apr 2013 sequence

What is the next no. of the following sequence
5, 13, 25, 41,......

OPtion

1) 49
2) 59
3) 61
4) 64
5) 76
6) 81
7) 100
8) 121
9) 144
10) None of these

Solution

2^2 + 1^2 = 5
3^2 + 2^2 = 13
4^2 + 3^2 = 25
5^2 + 4^2 = 41
6^2 + 5^2 = 61

Correct Option: 3 Best Solution (9)

Mukesh Kr Singh   11 years AGO

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

Like? Yes (4) | No   

Nitesh Kanojiya   11 years AGO

5+4(2)=13
13+4(3)=25
25+4(4)=41
so
41+4(5)=61

Like? Yes (3) | No (1)  

jitendra singh   11 years AGO

8,12,16,20

Like? Yes (2) | No (1)  

srinivasulareddy   11 years AGO

increment by 8,12,16,20

Like? Yes (2) | No (1)  

Kalpesh   11 years AGO

13-5 = 8
25-13= 12
41-25= 16
so
61-41= 20
i change option 4 to 3 please consider

Like? Yes (2) | No (1)  

Rats   11 years AGO

5+(8)=13
13+(12)=25
25+(16)=41
the sequence of addition is 8,12,16,20,....
So,
41+(20)=61

Like? Yes (1) | No (1)  

anjul meid   11 years AGO

difference in succesive terms are in ap...8,12,16 and next one is 20. so 41+20=61

Like? Yes (1) | No (1)  

AJOY SHARMA   11 years AGO

5,5+4x2,13+4x3,25+4x4,41+4x5

Like? Yes (1) | No (1)  

arunraj   11 years AGO

====> 2n^2-2n+1

if
n=2; 5
n=3; 13
n=4; 25
n=5; 41
n=6; 61

Like? Yes (1) | No (1)