Unit 1: Number and Algebra
Topic 1.3: Geometric Sequences and Series Questions
Practice 18 exam-style questions for IB Math AA SL Topic 1.3. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
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2026• Aimnova practice — 1.3.1
A ball is dropped from 16 m. Each bounce reaches ½ of the previous height.
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2026• Aimnova practice — 1.3.1
A geometric sequence has first term 4 and common ratio 3. Find the 6th term.
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2026• Aimnova practice — 1.3.1
A ball is dropped from 10 m and rebounds to 0.8 of its previous height.
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2026• Aimnova practice — 1.3.2
A ball is dropped from 8 m and rebounds to ¾ of its height each time. Find the total distance travelled when it has completed 5 bounces.
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2026• Aimnova practice — 1.3.2
A geometric sequence has first term 2 and fourth term 250.
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2026• Aimnova practice — 1.3.1
A geometric sequence has u₁ = 2 and u₄ = 54.
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2026• Aimnova practice — 1.3.2
A geometric sequence has first term 6 and common ratio 4.
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2026• Aimnova practice — 1.3.2
A ball is dropped from 10 m and rebounds to ½ of its height each bounce. Find the total distance it has travelled when it touches the ground for the 4th time.
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2026• Aimnova practice — 1.3.3
$3000 is invested at 5% per year, compounded annually.
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2026• Aimnova practice — 1.3.1
The 2nd term of a geometric sequence is 6 and the 5th term is 162.
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2026• Aimnova practice — 1.3.1
The terms x, x + 4 and x + 12 are consecutive terms of a geometric sequence. Find x and the common ratio.
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2026• Aimnova practice — 1.3.2
The sum of the first n terms of a geometric sequence is Sₙ = 5(2ⁿ − 1). Find the smallest value of n for which Sₙ > 5000.
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2026• Aimnova practice — 1.3.1
Given that 2, p and 50 are three consecutive terms of a geometric sequence with p > 0, find p.
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2026• Aimnova practice — 1.3.2
A geometric sequence has first term 80 and common ratio 1.5. Find the smallest value of n for which the sum of the first n terms exceeds 20 000.
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2026• Aimnova practice — 1.3.1
A geometric sequence has first term 5 and third term 80.
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2026• Aimnova practice — 1.3.3
A town's population is 25 000 and grows by 3.5% each year.
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2026• Aimnova practice — 1.3.1
In a geometric sequence, u₂ = 12 and u₄ = 3.
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2026• Aimnova practice — 1.3.1
The first three terms of a geometric sequence are k, k + 6 and 4k, where k > 0.
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