Paper 1 · Sequences and Series ⏱ Tested in 5+ recent exam questions Lesson 11 of 15

Sequences and Series 8 : Geometric Sequences 4

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You’ll learn

  • Find the sum to infinity with S∞ = a/(1−r), checking the |r| < 1 condition
  • Work a full amalgamation question: find a and r, then Tₙ, smallest n, Sₙ and S∞
  • Bring n down from the power with logs when solving Tₙ < 0.01
  • Reject any root with |r| ≥ 1 when the question gives you a sum to infinity

Most recent exam questions

  • 2025 P1 Q7(b)(ii)
  • 2025 P1 Q7(b)(iii)
  • 2024 P1 Q10(d)(ii) — deferred
  • 2022 P1 Q9(d)
  • 2022 P1 Q9(e)

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