Mathematics
Predict the number of squares in the next three stages of the pattern and write the sequence of numbers up to Stage 7 of the pattern.
Answer
From the pattern, we observe that:
Stage 1 has 1 square.
Stage 2 has 3 squares.
Stage 3 has 5 squares.
Stage 4 has 7 squares.
Each stage has 2 more squares than the previous stage.
So, the next three stages will have:
Stage 5 = 7 + 2 = 9 squares
Stage 6 = 9 + 2 = 11 squares
Stage 7 = 11 + 2 = 13 squares
Hence, the sequence of the number of squares up to Stage 7 is: 1, 3, 5, 7, 9, 11, 13.
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