c. Use Jim’s area-of-a-rectangle method and Basilio’s × method to find the product 45 36. Extensions Prime Time (INVESTIGATION 4) 85. Examine the number pattern below. 1 1 + 3 1 + 3 + 5 Stage 1: = 1 1 Stage 2: + = 1 3 4 Stage 3: + + = 1 3 5 9 Stage 4: + + + = 1 3 5 7 16 Find the next four stages and their sums. What is the sum in Stage 20? In what stage will the sum be 576? What is the greatest number added in the sum of this pattern? Explain.
c. Use Jim’s area-of-a-rectangle method and Basilio’s method to find the product 45 × 36. Extensions Prime Time (INVESTIGATION 4) 85. Examine the number pattern below. 1 1 + 3 1 + 3 + 5 Stage 1: 1 = 1 Stage 2: 1 + 3 = 4 Stage 3: 1 + 3 + 5 = 9 Stage 4: 1 + 3 + 5 + 7 = 16 Find the next four stages and their sums. What is the sum in Stage 20? In what stage will the sum be 576? What is the greatest number added in the sum of this pattern? Explain.
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