A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true.Sn: 12 + 42 + 72 + . . . + (3n - 2)2 = 
What will be an ideal response?
| S1: | 12   |
1 = 1 ?
S2: 12 + 42
17
17 = 17 ?
S3: 12 + 42 + 72
66
66 = 66 ?
Mathematics
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Determine what the next equation would be, and verify that it is indeed a true statement.5 × 6 = 7 × 8 - (5 + 6 + 7 + 8)6 × 7 = 8 × 9 - (6 + 7 + 8 + 9)
A. 8 × 9 = 10 × 11 - (8 + 9 + 10 + 11) B. 7 × 8 = 9 × 10 - (5 + 6 + 7 + 8 + 9 + 10) C. 8 × 9 = 10 × 11 - (7 + 6 + 5 + 4) D. 7 × 8 = 9 × 10 - (7 + 8 + 9 + 10)
Mathematics
Solve.
= 9
A. 2 B. 13 C. 36 D. 12
Mathematics
Simplify, where possible.3y - 6(x + 7y)
A. -39y - 6x B. 10y - 6x C. -39y + x D. 45y - 6x
Mathematics
Solve the problem.The temperature on a December morning is -4° F at 2a.m. If the temperature drops 3° by 3 a.m., rises 5° by 4 a.m., and then drops 9° by 5a.m., find the temperature by 5 a.m.
A. -21° F B. -11° F C. 21° F D. 11° F
Mathematics