From the image, I see a sequence problem involving numbers:

The sequence given is: $10, \frac{5}{2}, 0, -7, \dots$

You are asked to find the next number in the sequence. Let's analyze the pattern:

• From $10$ to $\frac{5}{2}$: The difference is $\frac{5}{2} - 10 = \frac{-15}{2}$.
• From $\frac{5}{2}$ to $0$: The difference is $0 - \frac{5}{2} = \frac{-5}{2}$.
• From $0$ to $-7$: The difference is $-7 - 0 = -7$.

It seems like the differences between the numbers are decreasing at a constant rate. I'll now find the next difference and the next term in the sequence.The next term in the sequence is $-19$.

Would you like further details on how the pattern was derived or have any additional questions?

Here are 5 related questions for practice:

1. What would the 7th term in the sequence be?
2. How can you determine if a sequence is arithmetic or geometric?
3. What is the sum of the first 6 terms in this sequence?
4. How would the pattern change if the differences between terms were increasing instead of decreasing?
5. Can you create a formula for this sequence?

Tip: Always check if the differences between terms follow a specific pattern to identify sequences easily!