https://file.aiquickdraw.com/mathbot/file/1726628712575octtf4ad.jpg

The pattern in the image shows a series of multiplications involving 4:

\[
4 \times 4 = 16
\]
\[
5 \times 4 = 20
\]
\[
6 \times 4 = 24
\]
\[
7 \times 4 = 28
\]

To use inductive reasoning, we observe that the first factor is increasing by 1 in each line, while the second factor remains 4. Following this pattern, the next line would involve increasing the first factor by 1 again:

\[
8 \times 4 = 32
\]

So, the next line in the pattern is:

\[
8 \times 4 = 32
\]

Would you like further details or have any questions?

Here are some related questions to consider:
1. What would be the 10th line in this pattern?
2. Can we generalize this pattern for any number \( n \)?
3. How would the pattern change if we increased the second factor instead of the first?
4. What role does inductive reasoning play in predicting patterns?
5. Can we use this pattern to explain the distributive property of multiplication?

**Tip:** Inductive reasoning is a useful tool for identifying and predicting patterns based on specific examples or trends.

Use inductive reasoning to predict the next line in the pattern: 4×4 = 16, 5×4 = 20, 6×4 = 24, 7×4 = 28.

Learn how to use inductive reasoning to predict the next line in a multiplication pattern. This problem involves recognizing a simple arithmetic pattern and applying it to forecast the next step. Ideal for students in Grades 5-7, it introduces basic concepts of patterns and multiplication.

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