ECZ 2022 · GCE Paper 2 · Question 2 — Sequences and Series
Question from ECZ 2022 · GCE Paper 2 · Question 2
(a) Simplify 4p3q ÷ p2 q6 × pq2.[2]
Verified working — step 1
Turn every division into multiplication by the reciprocal:(b) The first three terms of a geometric progression are 3, 6 and 12 respectively. Find the
(b(i)) nth term,[2]
Verified working — step 1
a = 3 and r = 63 = …(b(ii)) geometric mean of 96 and 384,[2]
Verified working — step 1
The geometric mean of two numbers is the square root of their product.(b(iii)) sum of the first 8 terms of the progression.[3]
Verified working — step 1
Sn = arn - 1r - 1 with a = 3, r = 2, n = 8: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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