Unit 1: Number and Algebra

Topic 1.2: Arithmetic Sequences and Series Questions

Practice 20 exam-style questions for IB Math AI SL Topic 1.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1find3 marks
A club records the number joining each week as 16, 20, 24, 28, ...
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2calculate3 marks
A savings account starts at 1000 dollars and gains 50 dollars each year with simple interest.
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3evaluate2 marks
Evaluate .
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4identify3 marks
An arithmetic sequence has first term 12, common difference 5, and 18 terms.
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5calculate4 marks
The arithmetic sequence is 3, 7, 11, 15, ...
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6explain2 marks
A student says a real-life data set must have exactly equal differences before you can use an arithmetic model.
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7evaluate2 marks
Evaluate .
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8evaluate2 marks
Evaluate .
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9find3 marks
A gym fee is 40 dollars in week 1, 45 dollars in week 2, 50 dollars in week 3, and so on.
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10write2 marks
Write as a normal sum and find its value.
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11find3 marks
A sequence starts 7, 11, 15, 19, ...
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12explain2 marks
A student says that 3, 6, 12, 24, ... is arithmetic because it increases each time.
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13write1 mark
Write as a normal sum.
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14calculate3 marks
A bike rental costs 18 dollars for the first hour and rises by 4 dollars for each extra hour.
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15explain2 marks
Explain in words what means.
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16evaluate2 marks
Evaluate .
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17identify1 mark
Why might you find the last term first before summing an arithmetic series?
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18find1 mark
What is the common difference of 30, 24, 18, 12, ...?
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19find3 marks
A plant grows 6 cm in week 1, 9 cm in week 2, 12 cm in week 3, and so on.
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20explain2 marks
A student expands as 1 + 2 + 3 + 4.
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