it's asking to identify a pattern and find the next number in the pattern.

1.) 31,24,17,10
4
-3
-2
3

2.) 0,4,2,10,50
450
250
5
50

If someone could help would appreciate but would like an explanation on how you get it so I can learn. Thanks ahead.

#1: each number is 7 less than the previous one. So, 3 is next

#2: I think 0,4 is meant to be 0.4, or 2/5. If so, then each number is 5 times the previous one. Next is 250

The European decimal point is a comma, so using it in a sequence of values separated by commas is dangerous.

To identify the pattern and find the next number in the sequence, we can look at the difference between each pair of numbers in the pattern.

1.) 31,24,17,10
To find the difference between two consecutive numbers, subtract the second number from the first number: 24 - 31 = -7, 17 - 24 = -7, 10 - 17 = -7.
We can observe that the difference between each pair of numbers is -7.
So, to find the next number, subtract 7 from 10.
The next number in the pattern is 3.

2.) 0,4,2,10,50
Similarly, to find the difference between each pair of numbers, subtract the second number from the first number: 4 - 0 = 4, 2 - 4 = -2, 10 - 2 = 8, 50 - 10 = 40.
The differences are not consistent in this sequence, so there may be a different pattern at play.
Looking at the numbers closely, we can see that each number is obtained by multiplying the previous number by a specific value.
0 * 1 + 4 = 4, 4 * 0.5 + 2 = 4, 2 * 5 + 10 = 20, 10 * 4 + 10 = 50.
Therefore, to find the next number, we multiply the previous number (50) by 4 and add 10.
The next number in the pattern is 250.

So, the answers are:
1.) The next number in the sequence is 3.
2.) The next number in the sequence is 250.