missing number of the sequence 1, 5, 14, 30, ..., 91, 140 will be

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03 Dec 2012 sequence

missing number of the sequence
1, 5, 14, 30, ..., 91, 140
will be

OPtion

1) 43
2) 47
3) 52
4) 55
5) 63
6) 65
7) 69
8) 73
9) 77
10) none of these

Solution

5-1 = 4
14-5 = 9
30-14 = 16
55-30 = 25
91-55 = 36
140-91 = 49

Correct Option: 4 Best Solution (12)

Dr.Dipin Singh   11 years AGO

Nth term is given by
Sigma N^2
N1=1
N2= 1^2+2^2=5
..
N4= 1+4+9+16 =30
N5= 1+4+9+16+25 = 55... option 4

Like? Yes (11) | No (1)  

Arjun Prasad   11 years AGO

1+sq of 2=5
5+sq of 3=14
14+sq of 4=30
30+sq of 5=55

Like? Yes (4) | No (2)  

Balakumaran N.A   11 years AGO

difference increases by 4,9,16,25,36,49...

30+25 =55.

Like? Yes (5) | No (4)  

susmit   11 years AGO

Differences between numbers are squares of natural nos. starting from 2. i.e. 4,9,16,25,36,49
so the next number is 30+25=55. Option no.4

Like? Yes (4) | No (4)  

Jitendra Kumar Kaushik   11 years AGO

(1^2)+0 = 1
(2^2)+1 = 5
(3^2)+5 = 14
(4^2)+14 = 30
(5^2)+30 = 55
(6^2)+55 = 91


(1^2)+0 , (2^2)+1 , (3^2)+5, (4^2)+14, (5^2)+30 , (6^2)+55

Like? Yes (4) | No (4)  

Devendra Marghade   11 years AGO

1+2^2=5
5+3^2=14
14+4^2=30
30+5^2=55
55+6^2=91
91+7^2=140

Like? Yes (4) | No (4)  

NAGA KISHORE RAJU DENDUKURI   11 years AGO

difference between the number are ........2^2,3^2,4^2,5^2,6^2 so the ansis --55

Like? Yes (1) | No (2)  

vigneshwari   11 years AGO

1 + 2^2 = 5
5 + 3^2 = 14
14+ 4^2 = 30
30+ 5^2 = 55
55+ 6^2 = 91
91+ 7^2 = 140
hence the answer is 55

Like? Yes (7) | No (8)  

birenparekh   11 years AGO

dufferent between number is 2^2,3^2,4^2,5^2,6^2..so on
so 1+2^2=5
5+3^2=14
14+4^2=30
30+5^2=55...answer
55+6^2=91
91+7^2=140

Like? Yes (3) | No (4)  

darshan prajapati   11 years AGO

difference of difference between successive two numbers is added with 2 so 5-1=4,14-5=9,30-14=16
so 16+9=25
so 25 will be added to 30
so it is 55

Like? Yes (2) | No (3)  

syed ashwaq ahmed   11 years AGO

the difference between each number is 2^2,3^2,4^2,...... so missing no. is 55

Like? Yes (1) | No (3)  

praveen kumar   11 years AGO

Diff is 2^2, 3^3...
Ans is 30+25=55

Like? Yes (1) | No (4)