What are the differences, patterns, and next terms in these number sequences: 125, 250, 375, 500; 8, 24, 72; and 286, 311, 336, , , ?

$$250 - 125 = 125$$ $$375 - 250 = 125$$ $$500 - 375 = 125$$

The difference between the numbers is $\boxed{\textbf{125}}$.

b) Describe the pattern.
The pattern is to add 125 to the previous number to get the next number.

2. Look at the number sequence 8, 24, 72.

a) What is the difference between the numbers?

$$24 - 8 = 16$$ $$72 - 24 = 48$$

The differences are not constant. The differences between the numbers are $\boxed{\textbf{16 and 48}}$.

b) Describe the pattern.

$$24 \div 8 = 3$$ $$72 \div 24 = 3$$

The pattern is to multiply the previous number by 3 to get the next number.

3. Give the next three numbers of the sequence. Describe the pattern.
Sequence: 286, 311, 336, ___, ___, ___

$$311 - 286 = 25$$ $$336 - 311 = 25$$

The pattern is to add 25 to the previous number.

$$336 + 25 = 361$$ $$361 + 25 = 386$$ $$386 + 25 = 411$$

The next three numbers are $\boxed{\textbf{361, 386, 411}}$.

Describe the pattern: The pattern is to add 25 to the previous number to get the next number.