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Author Question: Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to ... (Read 43 times)

dmcintosh

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Question 1

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.

15 × 16 = 17 × 18 - (15 + 16 + 17 + 18)
16 × 17 = 18 × 19 - (16 + 17 + 18 + 19)

◦ 18 × 19 = 20 × 21 - (17 + 16 + 15 + 14)
◦ 17 × 18 = 19 × 20 - (15 + 16 + 17 + 18 + 19 + 20)
◦ 18 × 19 = 20 × 21 - (18 + 19 + 20 + 21)
◦ 17 × 18 = 19 × 20 - (17 + 18 + 19 + 20)

Question 2

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.

(1 × 9) - 5 = 4
(21 × 9) - 5 = 184
(321 × 9) - 5 = 2884

◦ (432 × 9) - 5 = 38,884
◦ (4321 × 9) - 5 = 3883
◦ (4321 × 9) - 5 = 28,884
◦ (4321 × 9) - 5 = 38,884


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Marked as best answer by dmcintosh on Feb 2, 2020

Kaytorgator

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dmcintosh

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Reply 2 on: Feb 2, 2020
Excellent


Dinolord

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Reply 3 on: Yesterday
Great answer, keep it coming :)

 

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