ECZ 2020 · O-Level Paper 2 · Question 5 — Sequences and Series
Question from ECZ 2020 · O-Level Paper 2 · Question 5
(a) Simplify 2 - 18p23p + 1.[2]
Verified working — step 1
2 - 18p2 = 2(1 - 9p2) = 2(1 - 3p)(1 + 3p).(b) The first three terms of a geometric progression are: m - 2, m + 1 and m + 7. Find
(b(i)) the value of m,[3]
Verified working — step 1
Consecutive GP terms share a ratio: m + 1m - 2 = m + 7m + 1.(b(ii)) the common ratio,[2]
Verified working — step 1
With m = …(b(iii)) the sum of the first 6 terms.[2]
Verified working — step 1
Sn = arn - 1r - 1 with a = 3, r = 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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