next number of the sequence 6, 13, 32, 69, 130, .......... will be

M4maths Previous Puzzles

09 Jan 2012 sequence

next number of the sequence 6, 13, 32, 69, 130, .......... will be

OPtion

1) 221
2) 242
3) 254
4) 261
5) 287
6) 299
7) 301
8) 339
9) 400
10) none of these

Solution

the sequence is 1^3 + 5 = 6, 2^3 + 5 = 13
similarly for others

Correct Option: 1 Best Solution (10)

sandipan dey   13 years AGO

1^3+5=6,
2^3+5=13,
3^3+5=32,
4^3+5=69,
5^3+5=130,
6^3+5=221.

Like? Yes (20) | No (7)  

Shiv Kumar   13 years AGO

Series is n^3+5. N starts from 1,2,3,4,5,6.....

Like? Yes (11) | No (6)  

sonika thakur   13 years AGO

6 13 32 69 130 221
13-6 32-13 69-32 130-69 221-130
7 19 37 61 91
19-7 37-19 61-37 91-61
12 18 24 30
18-12 24-18 30-24
6 6 6

Like? Yes (7) | No (5)  

Balakumaran N.A   13 years AGO

Differences of Sequence: 7,19,37,61,...
so, next 91. 130+91 = 221.

Like? Yes (5) | No (3)  

B.Senthil Kumar   13 years AGO

13-6=7
32-13=19
69-32=37
130-69=61

19-7=12
37-19=18
61-37=24
then x-61=30
so x=91
and series value x-130=91
so x=221

Like? Yes (3) | No (1)  

YadeeshKumar   13 years AGO

the difference of successive terms are
13-6 = 7 (6*1+1)
32-13=19 (6*3+1)
69-32=37 (6*6+1)
130-69=61(6*10+1)
221-130=91(6*15+1)

Like? Yes (5) | No (5)  

atmakuri jagadish   13 years AGO

difference of their differences are multiples of 6

Like? Yes (4) | No (4)  

animesh paul   13 years AGO

6,6+7,13+19,32+37,69+61,130+91
here the difference is increasing evrytime by 6 :)

Like? Yes (2) | No (3)  

Sanjana Patnaik   13 years AGO

The difference of the given series is
13-6=7
32-13=19
69-32=37
130-69=61
Now again if we find the difference of the above difference
19-7=12
37-19=18
61-37=24
Now, the next differnce would be 30
So, the next term would be: 130+61+30=221

Like? Yes (1) | No (2)  

Piyush Agrawal   13 years AGO

First differences: 7,19 ,37 ,61 ,91

Second differences: 12,18 ,24 ,30

Third differences:6 ,6 ,6

Like? Yes (1) | No (3)