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UPCAT Mathematics practice question 15: What is the 20th term of the arithmetic sequence 7, 11, 15, 19, ...?

Correct answer

D. 83

The common difference is 4, so aₙ = 7 + (n − 1)(4). For n = 20: 7 + 19(4) = 7 + 76 = 83.

The question

What is the 20th term of the arithmetic sequence 7, 11, 15, 19, ...?

  1. Option A: 76
  2. Option B: 79
  3. Option C: 87
  4. Option D: 83Correct

Why D is correct

The common difference is 4, so aₙ = 7 + (n − 1)(4). For n = 20: 7 + 19(4) = 7 + 76 = 83.

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