Answer:
10
Step-by-step explanation:
To identify a pattern and find the next number in the series, let's examine the differences between consecutive terms:
45 - 15 = 30
15 - 30 = -15
30 - 30 = 0
30 - 10 = 20
It looks like the differences alternate between decreasing by 15 and increasing by 20.
If we continue this pattern:
5. 10 - 20 = -10
So, the next difference should be -10. Applying this to the last number in the series:
20 - 10 = 10
Therefore, the next number in the series is 10.
