Unit 1: Number and Algebra
Topic 1.3: Geometric Sequences and Series Questions
Practice 20 exam-style questions for IB Math AI SL Topic 1.3. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
21 mark
2026
A geometric sequence has u₁ = 5 and r = 2. Which formula gives uₙ?
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2026
For the series 3 + 6 + 12 + 24 + ..., what are a and r?
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2026
A town population increases by 4% each year. Which multiplier should be used?
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Which condition must hold for a geometric series to have a Sum to Infinity?
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Find the sum of the first 4 terms of the series 5 + 10 + 20 + ...
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Find the sum of the first 5 terms of the geometric series 2 + 6 + 18 + ...
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Write the next three terms of the geometric sequence 7, 21, 63, ...
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Find the common ratio of the sequence 80, 40, 20, 10, ...
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If a question asks for the total of the first 8 terms, which symbol should appear in your work?
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The sequence 4, 12, 36, 108, ... is geometric. What is the common ratio?
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A geometric series has first term 6 and common ratio 1/3. Find S∞.
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2026
A city has 12 000 people and grows by 3% each year. Find the population after 4 years.
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Which situation is geometric rather than arithmetic?
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A phone loses 20% of its value each year. It is bought for $900. Find its value after 2 years.
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2026
Find the mass remaining after one day.
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