Complete the conjecture based on the pattern you observe in the examples below. 5. Conjecture: The sum of any two odd numbers is 1+1=2 1+5=6 7+9=16 9+11 20 13 +21 34 101 + 103 204 6. Conjecture: The product of any two odd numbers is 1x1 = 1 1x3 = 3 3x7 = 21 9x1199 13x11 143 101x103 10,403 7. Conjecture: The product of a number (x - 1) and the number (x + 1) is always equal to 3x5=4²-1 7x98-1 4x6 = 5²-1 6x8 = 7² - 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 89E
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Complete the conjecture based on the pattern you observe in the examples below.
5. Conjecture: The sum of any two odd numbers is
1+1=2
1+5=6
7+9=16
9 + 11 = 20
13 +21 = 34
101 + 103 = 204
6. Conjecture: The product of any two odd numbers is
1x1 = 1
1x3 = 3
3x7 = 21
1.2 Patterns and Conjectures
9x1199
13x11 = 143
101x103 = 10,403
7. Conjecture: The product of a number (x - 1) and the number (x + 1) is always equal to
3x5 = 4² - 1
2
7x9 = 8²-1
4x6 = 5² - 1
6x8 = 7² - 1
5x7 = 6²-1
8x10 = 9²-1
Page 1 of 1
Transcribed Image Text:Complete the conjecture based on the pattern you observe in the examples below. 5. Conjecture: The sum of any two odd numbers is 1+1=2 1+5=6 7+9=16 9 + 11 = 20 13 +21 = 34 101 + 103 = 204 6. Conjecture: The product of any two odd numbers is 1x1 = 1 1x3 = 3 3x7 = 21 1.2 Patterns and Conjectures 9x1199 13x11 = 143 101x103 = 10,403 7. Conjecture: The product of a number (x - 1) and the number (x + 1) is always equal to 3x5 = 4² - 1 2 7x9 = 8²-1 4x6 = 5² - 1 6x8 = 7² - 1 5x7 = 6²-1 8x10 = 9²-1 Page 1 of 1
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