To find the next missing term in the series 37, 32, 26, 19, ?, ?, we need to determine the pattern that is being followed.
Start by identifying the differences between consecutive terms in the series:
The difference between 37 and 32 is 37 − 32 = 5 .
The difference between 32 and 26 is 32 − 26 = 6 .
The difference between 26 and 19 is 26 − 19 = 7 .
Observe that the differences themselves create a sequence: 5, 6, 7. We can see that they are increasing by 1. Let's assume this pattern continues.
If we subtract 8 (the next number in the difference sequence) from the last known term, 19, we get the next term:
19 − 8 = 11
If we continue this pattern, we subtract 9 from 11 (the newly found term):
11 − 9 = 2
So, the next two terms in the series are 11 and 2. Therefore, the completed series is 37, 32, 26, 19, 11, 2.