ECZ 2017 · O-Level Paper 2 · Question 5 — Sequences and Series
Question from ECZ 2017 · O-Level Paper 2 · Question 5
(a) For the geometric progression 20, 5, 1 14, ..., find
(a(i)) the common ratio,[2]
Verified working — step 1
The common ratio is any term divided by the one before it.(a(ii)) the nth term,[2]
Verified working — step 1
The nth term of a GP is a rn-1, with a = 20 and r = …(a(iii)) the sum of the first 8 terms.[3]
Verified working — step 1
Sn = a1 - rn1 - r with a = 20, r = 14, n = 8.(b) Simplify 14x39y2 ÷ 7x418y3.[2]
Verified working — step 1
Dividing by a fraction means multiplying by its reciprocal.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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