ECZ 2025 · O-Level Paper 2 · Question 3 — Sequences and Series
Question from ECZ 2025 · O-Level Paper 2 · Question 3
(a) Simplify 88r3 s2 t28p3 q3 ÷ 22r3 s2 t348p3 q3.[2]
Verified working — step 1
Dividing by a fraction means multiplying by its reciprocal:(b) For the geometric progression 189, 63, 21, ..., find the
(b(i)) common ratio,[2]
Verified working — step 1
In a GP the ratio of consecutive terms is constant: r = T2/T1.(b(ii)) 5th term,[2]
Verified working — step 1
The nth term of a GP is Tn = a rn-1.(b(iii)) sum to infinity.[3]
Verified working — step 1
A sum to infinity exists because |r| = 13 < 1.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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