Unit 1: Number and Algebra

Topic 1.8: Infinite Geometric Series Questions

Practice 6 exam-style questions for IB Math AA SL Topic 1.8. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

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2026Aimnova practice — 1.8.1
The first term of a geometric series is 18 and the second term is 12.
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2026Aimnova practice — 1.8.1
A ball is dropped from 10 m and rebounds to ½ of its height each time. Find the total distance it travels before coming to rest.
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2026Aimnova practice — 1.8.1
A geometric series has first term 8 and a sum to infinity of 20.
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2026Aimnova practice — 1.8.1
Consider the geometric series ln x + (ln x)/2 + (ln x)/4 + … , where ln x > 0.
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2026Aimnova practice — 1.8.1
A geometric series has first term 24 and common ratio 0.75.
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2026Aimnova practice — 1.8.1
A ball is dropped from a height of x metres and rebounds to 0.6 of its previous height each time. Show that the total distance it travels before coming to rest is 4x.
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