https://file.aiquickdraw.com/mathbot/file/1725559821585f7djmp6g.jpg

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!

What is the next number in this sequence? 10, 5/2, 0, -7, ...

Learn how to find the next number in the sequence 10, 5/2, 0, -7. This problem covers arithmetic sequences, pattern recognition, and calculating differences between terms. Suitable for students in Grades 6-8.

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