https://file.aiquickdraw.com/mathbot/file/1727193187337r9mvxrog.jpg

The sequence provided in the image is:

22, 44, 132, 528, 2640, 15840, 110880, ..., ...

Let's analyze this pattern to determine the next number.

### Step 1: Determine the pattern
We observe the differences or ratios between consecutive terms:

- \( \frac{44}{22} = 2 \)
- \( \frac{132}{44} = 3 \)
- \( \frac{528}{132} = 4 \)
- \( \frac{2640}{528} = 5 \)
- \( \frac{15840}{2640} = 6 \)
- \( \frac{110880}{15840} = 7 \)

Thus, the next ratio is increasing by 1. The next term should be multiplied by 8.

### Step 2: Calculate the next term
The next number is:

\[
110880 \times 8 = 887040
\]

### Step 3: Verify answer choices
Based on the options, the number 887040 appears in options A, D, and E. Now let's determine the number that follows 887040 by multiplying by 9:

\[
887040 \times 9 = 7983360
\]

### Final Answer:
Option E: \( 887040, 7983360 \).

Do you want more details on the calculation? Here are five related questions for practice:

1. Can you find the 9th term in the sequence if the 8th is \( 7983360 \)?
2. What is the general formula for this type of sequence?
3. How can you extend this sequence further?
4. How would the sequence change if we altered the multiplication factors?
5. What are the applications of this type of sequence in real-world scenarios?

**Tip:** When solving sequences, always check if the pattern involves a constant difference or ratio between terms. This can guide you to the correct next steps.

22, 44, 132, 528, 2640, 15840, 110880, ..., ...

Find the next terms in the sequence 22, 44, 132, 528, 2640, 15840, 110880 using pattern recognition and a multiplicative sequence approach. This problem is ideal for high school students in Grades 9-12.

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