Unit 1: Number and Algebra
Topic 1.2: Arithmetic Sequences and Series Questions
Practice 20 exam-style questions for IB Math AA SL Topic 1.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
11 mark
2026• Aimnova review MCQ — 1.2.3
Evaluate Σ(2k + 1) for k = 1 to 4.
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2026• Aimnova practice — 1.2.2
Find the sum of the first 15 terms of the arithmetic series 4 + 7 + 10 + … .
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2026• Aimnova practice — 1.2.1
The nth term of an arithmetic sequence is given by uₙ = 27 − 4n.
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2026• Aimnova review MCQ — 1.2.1
An arithmetic sequence has u₁ = 7 and d = 4. Find the 10th term.
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2026• Aimnova review MCQ — 1.2.4
A quantity changes by the same fixed amount each step. Which statement is true?
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2026• Aimnova review MCQ — 1.2.3
What is the first term of the sum Σ(4k − 3) for k = 1 to 6?
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2026• Aimnova review MCQ — 1.2.4
A theatre's rows have 18, 22, 26, … seats. How many seats are in the 10th row?
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2026• Aimnova review MCQ — 1.2.1
The nth term of an arithmetic sequence is uₙ = 5n − 2. What is the common difference?
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2026• Aimnova practice — 1.2.1
A theatre has 24 seats in the front row, and each row behind has 4 more seats than the row in front.
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2026• Aimnova review MCQ — 1.2.3
How many terms are in the sum Σ(4r) for r = 3 to 10?
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2026• Aimnova practice — 1.2.2
The sum of the first n terms of an arithmetic sequence is Sₙ = pn² + qn, where p and q are constants. Given that S₃ = 21 and S₅ = 55,
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2026• Aimnova practice — 1.2.2
An arithmetic sequence has first term 100 and 25th term 4. Find the sum of the first 25 terms.
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2026• Aimnova review MCQ — 1.2.1
k, k + 4 and 2k − 1 are consecutive terms of an arithmetic sequence. Find k.
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2026• Aimnova review MCQ — 1.2.3
Which sum represents 2 + 4 + 6 + … + 2n?
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2026• Aimnova practice — 1.2.4
An arithmetic sequence has first term 72 and common difference −4.
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2026• Aimnova review MCQ — 1.2.2
Find the sum of the first 20 terms of the series 5 + 8 + 11 + … .
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2026• Aimnova practice — 1.2.1
The nth term of an arithmetic sequence is uₙ = 5n − 8.
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2026• Aimnova practice — 1.2.1
An arithmetic sequence has third term 4.5 and seventh term 2.1. Find the first term and the common difference.
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2026• Aimnova practice — 1.2.1
The first three terms of an arithmetic sequence are 2k − 1, k + 5 and 3k − 4.
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2026• Aimnova practice — 1.2.2
In an arithmetic sequence the 6th term is 25 and the sum of the first 6 terms is 90. Find the first term and the common difference.
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