which number will come next 2,20,74,110
Answers
The correct answer is 182.
The Logic behind is 2, 20, 74, 110, ? ...
The diff between 20 and 2 is 20-2=18
The diff between 74 and 20 is 74-20=54
The diff between 110 and 74 is 110-74=36
So it is a multiple of 18 in this fashion 18 * (1, 3, 2, 4 and so on)
So the series is like after 2
2+18*1=20
20+18*3=74
74+18*2=110
110+18*4=182 and so on...
Given:
A series of numbers 2, 20, 74, 110.
To Find:
The next term of the above series.
Solution:
The given problem can be solved by developing logic between every number.
1. The given series is 2, 20, 74, 110.
2. The first term of the series is 2,
=> Sum of the digits of the number 2 is 2.
3. The second term of the series is 20,
=> Sum of the digits of the number 20 is 2+0 = 2.
4. The third term of the series is 74,
=> Sum of the digits of the number 74 is 11. Further calculating the sum of 11 we get 1+1 = 2.
5. The fourth term of the series is 110,
=> Sum of the digits of the number 110 is 1+1+0 is 2.
6. From the above calculations we can understand that the sum of the digits of the number is 2 for all the cases.
7. Hence, the next term of the series will the next number whose final sum of the digits is 2.
8. The next term in the series is 182. As the sum of the digits is 1 + 8 + 2 = 11. Calculate the sum again i.e, 1+1 = 2, which satisfies the condition of the series.
Therefore, the next term of the series is 182.