Explanation
Step 1: Analyze the differences between consecutive terms
Let us find the difference between each consecutive number in the given series to identify the underlying pattern:
First difference:
21−11=10
Second difference:
33−21=12
Third difference:
47−33=14
Step 2: Identify the pattern
The differences between the consecutive numbers are 10,12, and 14. As we can observe, the differences are increasing consecutively by +2 (which form a series of consecutive even numbers).
Following this established logic, the next difference in the sequence must be:
14+2=16
Step 3: Calculate the missing term
To get the next number in the series, we add this next difference (16) to the last known term (47):
Next term=47+16
Next term=63