https://file.aiquickdraw.com/mathbot/file/17292464281473h4h4ozq.jpg

The sequence provided is:

\[ 10, \ 18, \ 28, \ 40, \dots \]

To find the next two terms, let's examine the differences between consecutive terms:

- \( 18 - 10 = 8 \)
- \( 28 - 18 = 10 \)
- \( 40 - 28 = 12 \)

The differences are increasing by 2 each time: \( 8, 10, 12, \dots \).

Following this pattern, the next difference should be:

- \( 12 + 2 = 14 \)
- Adding this to the last term: \( 40 + 14 = 54 \)

For the second term, the next difference should be:

- \( 14 + 2 = 16 \)
- Adding this to 54: \( 54 + 16 = 70 \)

Thus, the next two terms in the sequence are:

\[ 54, \ 70 \]

Would you like more details or have any questions?

Here are five related questions to expand this topic:
1. How would you find the general formula for a sequence like this?
2. What is the significance of finding differences between terms?
3. How can sequences be represented using algebraic expressions?
4. Can you predict what the 10th term of this sequence would be?
5. How would the sequence change if the differences increased by 3 instead of 2?

**Tip**: For non-linear sequences, always check how differences between terms change. It often leads to identifying a pattern!

A sequence starts with: 10, 18, 28, 40, ... . Calculate the next 2 terms of the sequence.

Calculate the next two terms in the sequence 10, 18, 28, 40,... by identifying the pattern in differences. This problem focuses on arithmetic sequences and pattern recognition for middle school students in Grades 6-8.

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