A pattern uses small black and white squares. Figure 1: 1 black, 0 white. Figure 2: 2 black, 2 white. Figure 3: 3 black, 6 white. Figure 4: 4 black, 12 white. The pattern continues so that Figure n has n black squares and n × (n − 1) white squares. Find the TOTAL number of squares (black + white) in Figure 10.
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Worked Solution
Step 1: Figure 10 has 10 black squares and 10 × 9 = 90 white squares.
Step 2: Total = 10 + 90 = 100 squares.
Answer: 100
Correct answer: 100
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