Look at this series: 2, 30, 130, 350....... What number should come next?
Question
Look at this series: 2, 30, 130, 350....... What number should come next?
Solution
This series seems to be increasing in a pattern that isn't immediately obvious. However, if we look at the differences between the numbers, we might be able to spot a pattern.
The difference between 30 and 2 is 28. The difference between 130 and 30 is 100. The difference between 350 and 130 is 220.
Now, let's look at the differences between these differences:
The difference between 100 and 28 is 72. The difference between 220 and 100 is 120.
So, the differences between the differences are increasing by 48 each time (72 - 24 = 48, 120 - 72 = 48).
If we continue this pattern, the next difference between the differences should be 120 + 48 = 168.
So, the next difference in the original series should be 220 + 168 = 388.
Therefore, the next number in the series should be 350 + 388 = 738.
Similar Questions
Look at this series: 127, 218, 345, 514....... What number should come next?
Look at this series: 36, 34, 30, 28, 24, … What number should come next?
Look at this series: 2, 5, 17, 71 ....... What number should come next?
Look at this series: 3, 6, 30 ....... What number should come next?5506287059
Look at this series: 1, 4, 14, 53,230....... What number should come next?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.