ECZ 2021 · O-Level Paper 2 · Question 3 — Sequences and Series
The second and the fifth terms of a geometric progression are 16 and 2 respectively.
(a(i)) The second and the fifth terms of a geometric progression are 16 and 2 respectively. Find the common ratio and first term.[3]
Verified working — step 1
ar = 16 and ar4 = 2.(a(ii)) Find the 12th term.[2]
Verified working — step 1
T_12 = a r11 = 32 x (12)11 = 322048= …(a(iii)) Find the sum of the first 10 terms.[2]
Verified working — step 1
S_n = a1 - r^n1 - r(b) Express 51 - x- 3x - 2as 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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