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Author Question: Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to ... (Read 84 times)

dmcintosh

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on: Feb 2, 2020

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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Reply #1 on: Feb 2, 2020
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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dmcintosh

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Reply 2 on: Feb 2, 2020
Excellent

olderstudent

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Reply 3 on: Yesterday
Wow, this really help

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