What is the next number of the following sequence 5, 10, 17, 26,.......

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05 Aug 2013 Sequence

What is the next number of the following sequence
5, 10, 17, 26,.......

OPtion

1) 31
2) 35
3) 37
4) 40
5) 42
6) 46
7) 52
8) 64
9) 72
10)None of these

Solution

1*2+3 = 5
2*3+4 = 10
3*4+5 = 17
4*5+6 = 26
5*6+7 = 37

Correct Option: 3 Best Solution (18)

jitendra sharma   10 years AGO

5+5=10;
10+7=17;
17+9=26;
26+11=37;
so 37 is correct answer.....

Like? Yes (10) | No (1)  

SATYAM SAURABH   10 years AGO

using formula A^2 +1
2^2+1=5
3^2+1=10
4^2+1=17
5^2+1=26
now 6^2+1= 37
another way..use the difference.
5----5-->10-----7--->17---9---->26----now 11---37
every time odd number is added in previous number

Like? Yes (4) | No   

Shyoram   10 years AGO

The given sequence follows rule :
5 + 5 = 10
10 + 7 = 17
17 + 9 = 26
26 + 11= 37
Hence the correct option is (3) - 37

Like? Yes (3) | No   

Jasmine Khan   10 years AGO

2^2+1=5
3^+1=10
4^2+1=17
5^2+1=26
6^2+1=37

Like? Yes (2) | No   

Pankaj   10 years AGO

therefore difference b/w consecutive terms
5, 10, 17, 26.....___________(1)
5 ,7 ,9_______________(2)
diff. b/w these terms i (2) is 2
so the next term in (2) is 11
hence next term in (1) is 37

Like? Yes (2) | No   

Abhik Kumar Dey   10 years AGO

10-5=5
17-10=7
26-17=9
therefore it is obvious that the next difference will be 11
and thus 26+11=37

Like? Yes (2) | No   

Neha Rani   10 years AGO

since 1st digit is 5,next digit increased by 5 it becomes 10,next digit increased by 7 it becomes 17,next digit increased by 9 it becomes 26 and so next digit will be increased by 11 and it will be 37

Like? Yes (2) | No   

Rats   10 years AGO

2^2+1=5
3^2+1=10
4^2+1=17
5^2+1=26
so next term is
6^2+1=37

Like? Yes (2) | No (1)  

FRANKLIN VIJAY   10 years AGO

n^2+1
2^2+1=5
3^3+1=10
4^4+1=17
5^5+1=26
6^6+1=37
Answer=37

Like? Yes (2) | No (1)  

kiruthika   10 years AGO

5,10,17,26,....
the difference between the numbers
10-5=5
17-10=7
26-17=9
so the next number will be 26+11=37
the answer is 37

Like? Yes (2) | No (1)  

Jigyasa Kumar   10 years AGO

The difference between the nos. follows odd nos. from 5,7,9 .so answer is 37,difference will be 11 because 37-26 = 11.so the answer is 37

Like? Yes (2) | No (1)  

Deepak Sharma   10 years AGO

5,10,17,26........
5
5+5=10
10+7=17
17+9=26
so next number will be 26+11=37
therfore option 3 is correct.

Like? Yes (2) | No (1)  

Aarush Singh   10 years AGO

The difference between the nos. follows odd nos. from 5 .so answer is 37.then difference will be 11

Like? Yes (2) | No (1)  

sk   10 years AGO

5+5=10
10+7=17
17+9=26
so next wouuld be 26+11=37

Like? Yes (1) | No   

Amarjeet Kumar   10 years AGO

5+5=10
10+7=17
17+9=26
26+11=37

Like? Yes (2) | No (1)  

NITISH KUMAR   10 years AGO

5,10,17,26,......
here 10-5=5;
17-10=7;
26-17=9;
i.e difference increases by 2
so next difference is 9+2=11
so next no is 26+11=37

Like? Yes (1) | No (1)  

shailesh kumar mishra   10 years AGO

since 5,10,17,26
the differece is 5,7,9 so next should be 11
hence next no of the series is 37

Like? Yes (1) | No (1)  

ankur pratap singh   10 years AGO

5+5=10; add 5
10+7=17; add 7
17+9=26; add 9
26+11=37; add 11
answer= 37.

Like? Yes (1) | No (1)