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.

1find1 mark
What is the common difference of 30, 24, 18, 12, ...?
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2calculate2 marks
The first 6 terms of an arithmetic sequence are 9, 12, 15, 18, 21, 24.
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3identify3 marks
An arithmetic sequence has first term 12, common difference 5, and 18 terms.
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4identify1 mark
Which of the following is an arithmetic sequence?
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5find3 marks
A club records the number joining each week as 16, 20, 24, 28, ...
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6calculate4 marks
The arithmetic sequence is 3, 7, 11, 15, ...
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7evaluate2 marks
Evaluate .
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8explain2 marks
Explain in words what means.
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9write2 marks
Write as a normal sum and find its value.
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10explain2 marks
A student expands as 1 + 2 + 3 + 4.
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11find3 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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12evaluate2 marks
Evaluate .
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13evaluate2 marks
Evaluate .
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14find3 marks
A sequence starts 7, 11, 15, 19, ...
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15find3 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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16identify1 mark
Which formula is best for finding the total of the first n terms of an arithmetic series?
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17identify1 mark
Why might you find the last term first before summing an arithmetic series?
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18evaluate2 marks
Evaluate .
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19evaluate2 marks
Evaluate .
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20calculate3 marks
A factory makes 260 boxes on day 1 and 15 more boxes each following day.
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