Exam 1: An Introduction to Problem Solving

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Complete the magic (addition)square. -Use each number 37, 38, 39, 40, 41, 42, 43, 44, and 45 once. 39 40 41 45 38

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Find the number of terms in the sequence or the sum of the sequence as requested. -Find the following sum: 4 + 10 + 16 + . . . + 112

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Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -4, 12, 120, 1200, 12,000, . . .

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Find the number of terms in the sequence or the sum of the sequence as requested. -Find the following sum: 5 + 7 + 9 + . . . + 103

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Find the requested term in the sequence. -The 10th term in 13, 19, 20, 21, 22, . . .

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Find the requested term in the sequence. -The nth term in 15, 30, 45, 60, 75, . . .

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Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -1, 10, 11, 21, 32, . . .

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At what term will the geometric sequence 1, 2, 4, 8, . . . become greater than the arithmetic sequence 0, 20, 40, 60, . . .?

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Determine how many of the indicated shape there are in the figure. -Squares (of any size) Determine how many of the indicated shape there are in the figure. -Squares (of any size)

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Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -5, 15, 45, 135, 405, . . .

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Find the requested term in the sequence. -Given that the sequence 7, x, y, 448, 1792, . . . is a geometric sequence, find x and y.

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Solve the problem. -A pencil box and a notebook together cost $6.28. The notebook costs $0.50 more than the pencil box. How much does the notebook cost?

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Find the requested term in the sequence. -The 100th term in 6, 8, 17, 26, 35, . . .

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Find the number of terms in the sequence or the sum of the sequence as requested. -Find the number of terms in the following arithmetic sequence. 3, 9, 15, 21, . . ., 129

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Find the number of terms in the sequence or the sum of the sequence as requested. -Find the sum of the following arithmetic sequence. 4 + 8 + 12 + . . . + 100

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Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -1, 8, 15, 22, 29, . . .

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Find the first five terms in the sequence whose nth term is given. - 6n46 n - 4

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Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -2, 30, 300, 3000, 30,000, . . .

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Find the first five terms in the sequence whose nth term is given. - n2+2n ^ { 2 } + 2

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Find the number of terms in the sequence or the sum of the sequence as requested. -Find the sum of the following arithmetic sequence. 10 + 11 + 12 + . . . + 500

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