Sequences (geometric sequences) — KCSE Mathematics
KCSE Mathematics · 114 practice questions · 4 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Identify a geometric sequence; find the first term and common ratio from a sequence or given terms
Apply the formula for the nth term of a GP: Tₙ = arⁿ⁻¹, and find the sum using Sₙ = a(rⁿ – 1)/(r – 1)
Determine the sum to infinity of a convergent geometric series (|r| < 1) using S∞ = a/(1–r)
Sequences (geometric sequences)
Sample Questions
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Identify the first term and common ratio of the geometric sequence where the third term is 24 and the sixth term is 192. (3 marks)
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Name the first term and the common ratio of the geometric sequence where the second term is 12 and the fifth term is 96. (3 marks)
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Identify the first term and common ratio of the geometric sequence where the 1st term is 5 and the 4th term is 40. (4 marks)
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Why Practise Sequences (geometric sequences)?
KNEC Aligned
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Detailed Marking Schemes
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