ECZ 2023 · O-Level Paper 2 · Question 3 — Sequences and Series
The nth term of a geometric progression is given by 180(12)^n.
(a) Find the equation of the curve for which dydx= 12x3 - 4x + 5 at the point (0, -2).[3]
Verified working — step 1
y = integral of (12x3 - 4x + 5) dx = 3x4 - 2x2 + 5x + c(b(i)) The nth term of a geometric progression is given by 180(12)^n. Find the first 3 terms.[2]
Verified working — step 1
n = 1: 180(12) = 90(b(ii)) Find the common ratio.[2]
Verified working — step 1
r = 4590= 12(check: 22.545= …(b(iii)) Find the sum to infinity of the progression.[3]
Verified working — step 1
The first term is a = 90 and r = …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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