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Arithmetic Sequences: Differences, Terms, and Sums

This multiple-choice quiz tests your understanding of arithmetic sequences, including finding differences, terms, and sums. Choose the correct answer for each question.

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Arithmetic Sequences: Differences, Terms, and Sums

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  1. Find the common difference of the arithmetic sequence 4, 7, 10, 13, ... Select the correct answer. • 3 • 4 • 7 • 1

  2. Find the n-th term of the arithmetic sequence. 4, 4 + s, 4 + 2s, 4 + 3s, ... Select the correct answer. • 4 + s(n - 1) • 4 + sn • s + 4(n - 1) • s + 4n

  3. The 50th term of an arithmetic sequence is 67, and the common difference is 3. Find the first three terms. Select the correct answer. • -80, -77, -74 • -80, -74, -68 • -83, -77, -71 • -83, -80, -77

  4. A partial sum of an arithmetic sequence is given. Find the sum. 5 + 8 + 11 + ... + 62. Choose the answer from the following: • 670 • 1,340 • 700 • 86

  5. A man gets a job with a salary of $30,000 a year. He is promised a $2,100 raise each subsequent year. Find his total earnings for a 15 year period. Choose the answer from the following: • $670,500 • $1,341,000 • $686,250 • $61,500

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