ECZ 2022 · O-Level Paper 2 · Question 3 — Sequences and Series
Question from ECZ 2022 · O-Level Paper 2 · Question 3
(a) Simplify 2x + 142x2 - 98.[2]
Verified working — step 1
Factor top and bottom:(b) Given that the third and sixth terms of a geometric progression are 34 and 332 respectively, find the
(b(i)) first term and the common ratio,[3]
Verified working — step 1
Divide the two given terms to isolate r:(b(ii)) nth term,[2]
Verified working — step 1
nth term = a rn-1 with a = 3 and r = …(b(iii)) sum to infinity of the progression.[2]
Verified working — step 1
|r| = 12 < 1, so a sum to infinity exists.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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