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, ...?
- Option A: 76
- Option B: 79
- Option C: 87
- 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.