What is the missing number. 8,22,44,.....,112

ritesh kumar pandey   11 years AGO

8 = 3^2 -1
22 = 5^2-3
44 = 7^2 - 5
74 = 9^2 - 7
112 = 11^2 - 9
so 74 is the answer;

Like? Yes (10) | No (3)  

Abhijeet Kumar   11 years AGO

(2*2)+4=8
(4*4)+6=22
(6*6)+8=44
(8*8)+10=74 ---> Ans
(10*10)+12=112

Like? Yes (5) | No (1)  

kishor kumar   11 years AGO

8*1-0= 8
8*3-2= 22
8*6-4= 44
8*10-6=74
8*15-8=112

Like? Yes (4) | No (2)  

lakshmi chaitanya   11 years AGO

difference between digits increasing by 8
8 22 44 74 112
22-8=14 44-22=22 74-44=30 112-74=38

Like? Yes (3) | No (1)  

Dr.Dipin Singh   11 years AGO

Every term is given by
Tn= 2*(2n^2+n+1)
T4= 2*(2*4^2 +4+1)=74

Like? Yes (2) | No   

Vinay Sipani    11 years AGO

74

22 - 8 = 14
44 - 22 = 22
x - 44 = y
112 - x = z

To form a sequence,assume 14 , 22 ,x , z are in AP
=> y = 30 , z = 38

=> x = 44 + 30 = 112 - 38 = 74

Like? Yes (6) | No (5)  

Rahul Singh Tomar   11 years AGO

8+14=22
22+(14+8)=44
44+(14+8+8)=74

Like? Yes (1) | No   

SOMASHEKAR MACHANI   11 years AGO

the given series can b written as
3^2 - 1 = 8
5^2 - 3 = 22
7^2 - 5 = 44
9^2 - 7 = 74
11^2 - 9 = 112
ie.,series is (odd number square - previous odd number)

Like? Yes (2) | No (1)  

Namratha   11 years AGO

difference between 8 and 22 is 14..
and the difference between 22 and 44 is 22..
now the difference between 14 and 22 is 8..
so,now add 22+8=30..
now add 44+30=74..so,the next numberis 74..

Like? Yes (1) | No   

Grishma Shah   11 years AGO

8= 8*1+0
22=8*2+6*1+0
44=8*3+6*2+(6*1+2) previous addition no.+2
74=8*4+6*3+(6*2+(6*1+2)+4)
112=8*5+(6*4+(6*3+(6*2+(6*1+2)+4)+6)

Like? Yes (3) | No (2)  

brijesh   11 years AGO

22-8=14
44-22=22
74-44=30
112-74=38...

and 14,22,30,38 all are in difference of 8...

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LOGAN WOLVERINE   11 years AGO

2^2+4=8;
4^2+6=22;
6^2+8=44;
..so

8^2+10=74;
ans 74 . option4.

Like? Yes (1) | No   

Alok Kumar   11 years AGO

ANS : 74
the difference in digit is 14 , 22 ..that is 8
(22-8) =14
(44-22)=22
added in the difference so the 74
so hence the difference 14 , 22 , 30 , 36
(22-8) =14
(44-22)=22
(74-44)=30
(112-74)=36

Like? Yes (2) | No (1)  

Alok kumar   11 years AGO

find 1st difference
then 2nd difference which is constant equal to 8
so missing no is 74

Like? Yes (2) | No (1)  

saurabh verma   11 years AGO

22-8=14
44-22=22
74-44=30
112-74=38

so difference is +8 in each case......

Like? Yes (2) | No (1)  

Raju Sharma   11 years AGO

8+7*2+0=22
22+7*3+1=44
44+7*4+2=74
74+7*5+3=112

Like? Yes (2) | No (1)  

Girjesh Chandravanshi   11 years AGO

3^2-1=8
5^2-3=22
7^2-5=44
9^2-7=74 Ans
11^2-9=112

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avinash   11 years AGO

22-8=14
44-22=22
so difference is increamenting by 8
thus
22+8=30
=> 44+30=74
and 74+38=112

Like? Yes (1) | No   

jatin patware   11 years AGO

2^2+4=8
4^2+6=22
6^2+8=44
8^2+10=74
10^2+12=112
SO OPTION 4 IS CORRECT

Like? Yes (1) | No   

varun kumar .r   11 years AGO

8/2=4
(4+7)*2=22
(11+(7+4))*2=44
(22+(11+4))*2=74
(37+(15+4))*2=112
hence series is 8,22,44,74,112.
observe that a number is obtained by adding the previous number's half and adding number 4 simultaneously to 7

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Madhu pericherla   11 years AGO

2^2+4=8 4^2+6=22 6^2+8=44 8^2+10=74 10^2+12=112 so ans is 74

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Jagadeesh Rampati   11 years AGO

8,22,44,...,112
first difference:22-8=14,44-22=22
after first differences series is 14,22
now 22-14=8
back track 22+8=30
44+30=74
next number in the series is 74

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Udhaya kumar   11 years AGO

8+14=22
22+22=44
44+30=74
74+38=112
so ans is 74

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Sudharsan   11 years AGO

the difference between the numbers is an AP series
14,22,30,38
so the given sequence is 8,22,44,74,112

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Anilkumar   11 years AGO

8
8+14=22
22+14+8=44
44+14+8+8=74
74+14+8+8+8=112

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Ashutosh Anshu   11 years AGO

8+6 = 14
14+8 = 22
22+10 = 32
32+12 = 44
44+14 = 58
58+16 = 74
74+18 = 92
92+20 = 112

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deepalakshmi   11 years AGO

22-8=14
44-22=22
(7*2=14)
(11*2=22)
(15*2=30)
so,44+30=74

Like? Yes (1) | No   

vignesh   11 years AGO

it is sequence
subtracting first two numbers we get
22-8=14
then next two numbers is
44-22=22
and the difference of difference is 22-14=8

by adding this 8 with previous difference is
22+8=30
now add it with 44, it gives the next number
44+30=74

thus the option is 4

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karthik chodagiri   11 years AGO

14,14+8=22,22+8=30,30+8=38 are added consecutively

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Lakshmi Narayanan   11 years AGO

8+14=22
22+22=44
44+30=74
74+38=112.......14,22,30,38 are 8 added to previous..

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ASHA.S   11 years AGO

8,22,44
22-8=14
44-22=22 22-14=8
22+8=30
44+30=74
30+8=38
74+38=112
so the missing no is 74

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Md Intshamuddin   11 years AGO

8---0+8
22--8+14
44--22+22
.....--44+30==74
112--74+38=112

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Hasina Abdulhakkim   11 years AGO

8
22==8+14
44==22+22
.....==44+30=74
112== 74+38

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Rats   11 years AGO

3^2-1=8
5^2-3=22
7^2-5=44
9^2-7=74(......Ans)
11^2-9=112

Like? Yes (1) | No (1)  

susmit   11 years AGO

22-8=14
44-22=22
74-44=30
112-74=38
14,22,30,38 are in AP WITH DIFFERENCE=8
HENCE THE ANSWER IS 74 OPTION NO.4

Like? Yes (1) | No (1)  

ABHISHEK KUMAR MISHRA   11 years AGO

22-8=14
44-22=22
74-44=30
112-74=38
so 74 is the right answer

Like? Yes (1) | No (1)  

Aniruddha Bhattacharjee   11 years AGO

simply 22=8+14
then 44=22+22
74=44+30
112=74+38
AS
22-8=14
44-22=22 and 22-14=8
next no will be 44+22+8=74
Next 74+30+8=112

Like? Yes (1) | No (1)  

praveen sb   11 years AGO

3^2-1=8
5^2-3=22
7^2-5=44
9^2-7=74
11^2-9=112

Like? Yes (1) | No (1)  

Devendra Marghade   11 years AGO

(3^2-1=8)(5^2-3=22)(7^2-5=44)(9^2-7=74)(11^2-9=112)
OR
(2^2+4=8)(4^2+6=22)(6^2+8=44)(8^2+10=74)(10^2+12=112)

Like? Yes (1) | No (1)  

Deepak Sharma   11 years AGO

3^2-1=8
5^2-3=22
7^2-5=44
9^2-7=74
11^2-9=112
so the option 4 is correct

Like? Yes (1) | No (1)  

Mayuresh Srivastava   11 years AGO

8 22 44 74 112
4*2 11*2 22*2 37*2 56*2
7 11 15 19

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Jacky shevkani   11 years AGO

the difference between the first and the second number is
(22-8)=14

the difference between the second and the third number is
(44-22)=22

the height between the differences is
(22-14)=8

series of difference is as follows
14,22,30,38...

so the difference between the third and fourth number should be 30
let the fourth number be x
so
x-44=30
x=74

Like? Yes (1) | No (1)  

richa ahuja   11 years AGO

difference is in AP with common difference 8

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Balakumaran N.A   11 years AGO

sequence increasing by 14,22,30,38...

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Sourav Maity   11 years AGO

22-8=14
44-22=14+8=22
74-44=22+8=30
112-74=30+8=38
so the ans.=74

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SARASVATHI   11 years AGO

22-8=14;
44-22=22;22-14=8
so every segment we add 8.so
22+8=30;44+30=74
30+8=38;74+38=112

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Chandni Maurya   11 years AGO

ans=(4) 74
8+14=22
22+(14+8)=44
44+(22+8)=74
74+(30+8)=112

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Md.Sultan Khichi   11 years AGO

22-8=14
44-22=14+8=22
74-44=30=22+8
112-74=38=30+8
so diference between the numbers and adding 8 we will get the next no.
Ans:74.obtion.4.

Like? Yes (1) | No (1)  

Bingumalla Abinay   11 years AGO

3^2 9-1= 8
5^2 25-3= 22
7^2 49-5= 44
9^2 81-7= 74
11^2 121-9= 112

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rahul jha   11 years AGO

answer:74
22-8=14
44-22=22
74-44=30
112-74=38
we can see--:14+8=22
22+8=30
30+8=38

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siddanth   11 years AGO

8
(14) + 8 = 22
(14+8) + 22 = 44
(14+8+8) + 44 = 74
(14+8+8+8) + 74 = 112

Like? Yes (1) | No (1)  

sudipta sadhukhan   11 years AGO

2*3+2=8
4*5+2=22
6*7+2=44
8*9+2=74
10*11+2=112

Like? Yes (1) | No (1)  

Sunil Kumar   11 years AGO

divide by 2 to each no.
4,11,22,...,56
so
4+7=11
11+11=22
22+15=37
37+19=56

so 37*2=74

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Abhishek misra   11 years AGO

difference between the no is 14,22,30,38
fourth no will be 44+30=74

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rohit punekar   11 years AGO

14
22
30
48

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arjun   11 years AGO

4*2,11*2,22*2,37*2,56*2...
so that 74 is the answer
its like even*2,odd*2,even*2,odd*2,even*2

Like? Yes (1) | No (1)  

sivaraman   11 years AGO

8,22,44,x,122
difference
14,22 difference 4
so
14,22,30,38

so 44+30=74

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ponjothinathan   11 years AGO

The difference between first and second value is 14.and then difference between second and third is 22.
Therefore the difference between 14 and 22 is 8.so,8 will be increase the value in series. add 8+22=30.and then add 30+44=74.
The answer is 74.

Like? Yes (1) | No (1)  

JITENDRA KR.BAROLIYA   11 years AGO

8+14=22,
22+14+8=44,
44+14+8+8=74,
74+14+8+8+8=112
ans=74

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T Lokesh   11 years AGO

given series :3^2-1,5^2-3,7^2-5,x,11^2-9
so x=9^2-7
=74

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sanjay singh   11 years AGO

8=2^2+4
22=(2+2)^2+(4+2)
44=(2+2+2)^2+(4+2+2)
so the next term=(2+2+2+2)^2+(4+2+2+2)
=8^2+10=74

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Aditya Baijal   11 years AGO

The difference increases by 8.
22-8=14
44-22=22....&, 14+8=22
74-44=30......&, 22+8=30
112-74=38.....&, 30+8=38

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ravi singh   11 years AGO

answer is 74

8 + 2*7 = 22

22 + 2*(7 + 4) = 44

44 + 2*(11 + 4) = 74

74 + 2*(15 + 4) = 112

it should also be check from the option as see in series aa numbers are multiple of 2 and in option only 3 option has a multiple of 2 and as see in series that the difference between all the no. is in increasing order and in option only 74 verify this condition so answer is 74

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Tapesh mishra   11 years AGO

4,22,44,?,112 can be shown by
(3)^2-(1)=8
(5)^2-(3)=22
(7)^2-(5)=44
(9)^2-(7)=74
(11)^2-(9)=112

so if u agree please like this

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DNYANESHWAR PURUSHOTTAM AGARKAR   11 years AGO

22-8=14
44-22=22
therefore44+30=74

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Akshay Hanswal   11 years AGO

22-8=14
44-22=22
Nd 22-14=8
Since 74-44=30 which is 22+8
Or 30-22=8
Nd also 112-74=38
Which is 30+8. . .hence 74 is answer

Like? Yes (1) | No (2)  

Gokul Krishnan   11 years AGO

the series have difference of
8,22,44,74,112
difference is 14,22,30,38
hence the difference is 8 in the difference.

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kamlesh kumar vishwakarma   11 years AGO

8-------22-------44-------x-------112
--7*2+0----7*3+1---7*4+2----7*5+3----
x=44+(7*4+2)=44+30=74....
hence missing number is 74.

Like? Yes (1) | No (2)