YEAR 11 · SEQUENCES AND SERIES

Topic review.

Connect the key ideas, then choose a practice paper.

01 / QUICK RECAP

Connect the ideas.

Define the initial index and value.
Arithmetic terms have constant differences; geometric terms have constant ratios.
Count terms before summing.
Infinite geometric sums require $∣ r ∣ < 1$ when the first term is nonzero.
Payment timing changes a recurrence.
Induction requires a true base case and a valid implication.

02 / PRACTICE TESTS

Choose a paper and show your working.

Sequences and series — Practice test 1
Terms, sums and first model choices.
10 questions · 53 marks · 70 minutes · Scientific calculator
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Sequences and series — Practice test 2
Comparing rules, timing and proof structure.
10 questions · 56 marks · 70 minutes · Scientific calculator
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Sequences and series — Practice test 3
Interpreting data, convergence and practical models.
10 questions · 53 marks · 70 minutes · Scientific calculator
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Sequences and series — Practice test 4
Applications, counterexamples and model comparisons.
10 questions · 55 marks · 70 minutes · Scientific calculator
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Sequences and series — Practice test 5
Integrated sequence reasoning and more demanding proofs.
10 questions · 62 marks · 75 minutes · Scientific calculator
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Curriculum reference & lesson scope

SACE Board of South Australia

Stage 1 Mathematics sequence and series content with introductory induction, regrouped into an original school-sized chapter.