look at this series 2,4,6,8,10,...... what number should come next?
Answers
Answer:
2,4,6,8,10,12,14,16,..........
Step-by-step explanation:
This is a form of AP and in AP the common difference is same
So the next number will be 12
Given,
The given series is :
2,4,6,8,10....
To find,
The next number of the given series.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Here, the difference between two consecutive terms is equal in each case.
First-term = 2
Second term = 4
Difference = 4-2 = 2
Similarly,
Fourth term = 8
Fifth term = 10
Difference = 10-8 = 2
As the difference between two consecutive terms is the same in each case, we can consider the given series as an AP series, with 2 as the common difference.
So, the next number of the series will have the same difference (as of the difference between previous consecutive numbers) from the last-mentioned number of the series.
Last mentioned number of the series = 10
Next number = 10+2 = 12
Hence, the next number is 12