ECZ 2021 · O-Level Paper 2 · Question 3 — Sequences and Series
Question from ECZ 2021 · O-Level Paper 2 · Question 3
(a) The second and the fifth terms of a geometric progression are 16 and 2 respectively. Find
(a(i)) the common ratio and first term,[3]
Verified working — step 1
Divide the two given terms to isolate r:(a(ii)) the 12th term,[2]
Verified working — step 1
Tn = a rn-1 with a = 32 and r = …(a(iii)) the sum of the first 10 terms.[2]
Verified working — step 1
Sn = a1 - rn1 - r with a = 32, r = 12:(b) Express 51 - x - 3x - 2 as a single fraction in its lowest terms.[3]
Verified working — step 1
Common denominator (1 - x)(x - 2):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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