Sequences and series — Topic Review | Year 11

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.

Complete each paper and show your working.

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