https://file.aiquickdraw.com/mathbot/file/17260409374868qi3w84i.jpg

The sequence provided in the image is:

15, 28, 54, 93, ?, 210

We need to determine the missing number in this series.

### Step-by-step analysis:

Let's look at the differences between consecutive terms:

1. \( 28 - 15 = 13 \)
2. \( 54 - 28 = 26 \)
3. \( 93 - 54 = 39 \)

It seems like the difference between consecutive terms is increasing by 13. Therefore, the next difference should be \( 39 + 13 = 52 \).

Adding this to the last known term:

\[
93 + 52 = 145
\]

Thus, the missing number is **145**.

### Final sequence:
15, 28, 54, 93, **145**, 210

The correct option is **145**.

Would you like more details on this or have any questions?

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Here are 5 related questions:

1. What kind of sequences have constant differences like this one?
2. How do you identify a pattern in a sequence quickly?
3. Could a sequence involve alternating operations instead of differences?
4. What happens if the differences aren't consistent in arithmetic terms?
5. How do geometric sequences differ from arithmetic sequences?

**Tip**: When working with sequences, always check the differences between terms first; if they don't match a pattern, consider squares, cubes, or other operations!

15, 28, 54, 93, ?, 210. What is the missing number in the sequence?

Learn how to find the missing number in the sequence 15, 28, 54, 93, ?, 210 by recognizing the arithmetic pattern in the differences between consecutive terms. Suitable for students in Grades 6-8.

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