Math Homework
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QUESTION 1
1. Use the indicated formula to find the sum. Use S = to find the sum of 1 + 2 + 3 + ... + 425.
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2. |
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90,100 |
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90,525 |
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89,676 |
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90,312 |
QUESTION 2
1. Use the method of successive differences to determine the next term in the sequence. 7, 12, 30, 70, 141, 252, ...
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2. |
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421 |
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425 |
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403 |
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412 |
QUESTION 3
1. Use the method of successive differences to determine the next term in the sequence. 14, 20, 31, 47, 68, ...
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2. |
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94 |
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98 |
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99 |
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89 |
QUESTION 4
1. Determine what the next equation would be, and verify that it is indeed a true statement. (1 × 9) - 8 = 1 (21 × 9) - 8 = 81 (321 × 9) - 8 = 2881
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2. |
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(4,321 × 9) - 8 = 38,881 |
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(432 × 9) - 8 = 38,881 |
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(4,321 × 9) - 8 = 28,881 |
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(4,321 × 9) - 8 = 3880 |
QUESTION 5
1. Use the appropriate formula to find the indicated figurate number. Use formulas in your book. the 13th hexagonal number
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2. |
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H13 = 97.5 |
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H13 = 325 |
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H13 = 351 |
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H13 = 286 |
QUESTION 6
1. Use the indicated formula to find the sum. Use S = n2 to find the sum of 1 + 3 + 5 + ... + 701. (To find 'n' add 1 to the last number and divide by 2.)
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2. |
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123,201 |
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123,202 |
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123,200 |
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122,500 |
QUESTION 7
1. Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. 224 , 112 , 56 , 28 , 14 , . . .
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2. |
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neither |
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geometric; 7 |
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arithmetic; 7 |
QUESTION 8
1. Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. 9 , 29 , 49 , 69 , 89 , . . .
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2. |
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arithmetic; 109 |
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neither |
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geometric; 109 |
QUESTION 9
1. Use the appropriate formula to find the indicated figurate number. the 13th triangular number
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2. |
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T13 = 84.5 |
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T13 = 78 |
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T13 = 91 |
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T13 = 14 |
QUESTION 10
1. Determine what the next equation would be, and verify that it is indeed a true statement. (3 × 1) × (2 × 1) = 6 (3 × 10) × (2 × 2) = 120 (3 × 100) × (2 × 3) = 1800
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(3 × 1000) × (2 × 4) = 24,000 |
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(3 × 1000) × (2 × 4) = 27,000 |
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(3 × 1000) × (2 × 4) = 2400 |
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(3 × 1000) × (2 × 4) = 21,000 |