ECZ 2023 · O-Level Paper 2 · Question 3 — Sequences and Series
Question from ECZ 2023 · O-Level Paper 2 · Question 3
(a) Find the equation of the curve for which dydx = 12x3 - 4x + 5 at the point (0, -2).[3]
Verified working — step 1
Integrate the gradient to recover the curve:(b) The nth term of a geometric progression is given by 18012n. Find the
(b(i)) first 3 terms,[2]
Verified working — step 1
The nth term is 18012n, so substitute n = 1, 2, 3:(b(ii)) common ratio,[2]
Verified working — step 1
The common ratio divides a…(b(iii)) sum to infinity of the progression.[3]
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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