From the uploaded image, we see that the problem involves determining the next pattern in a sequence of squares, where each pattern adds a consistent number of squares to the previous one. Here's how to solve it step by step:

Step 1: Analyze the given patterns

• 1st pattern: Contains 4 squares (3 green and 1 red).
• 2nd pattern: Contains 6 squares (5 green and 1 red).
• 3rd pattern: Contains 8 squares (7 green and 1 red).

It appears that:

• Each new pattern adds 2 green squares to the previous pattern.
• The red square remains constant.

Step 2: Determine the number of squares in the 4th pattern

Since the 3rd pattern has 8 squares, adding 2 green squares to the total gives: $8 + 2 = 10$

So, the 4th pattern will have 10 squares (9 green squares and 1 red square).

Step 3: Draw the 4th pattern

The 4th pattern will look like the 3rd pattern with an additional two green squares added to the bottom row. The red square remains in the same position.

Final Answer:

• Total squares in the 4th pattern: 10 squares.

Would you like help visualizing the 4th pattern? Let me know!

5 Related Questions

1. What is the rule for determining the number of squares in the nth pattern?
2. How many squares would there be in the 5th pattern?
3. Can you write a formula to find the total number of squares in any pattern?
4. If the pattern continues, how many green squares are there in the 10th pattern?
5. How can sequences like this be represented as arithmetic progressions?

Tip:

For patterns like this, identifying how much is added or subtracted between consecutive steps helps create a formula for any term in the sequence!