ECZ 2024 · GCE Paper 2 · Question 6 — Sequences and Series
The first three terms of a geometric progression are 3w - 2, 3w + 6 and 3w + 30.
(a(i)) Find the value of w.[3]
Verified working — step 1
For a GP, (2nd term)² = (1st term)(3rd term):(a(ii)) Find the nth term.[2]
Verified working — step 1
Substitute w=2 into the terms:(a(iii)) Find the sum of the first 4 terms.[2]
Verified working — step 1
Sum of first n terms: Sn = ar^n - 1r-1(b) Simplify (10am2 n2) ÷ (5a3 / 2m2 n2).[2]
Verified working — step 1
(10am2n2) ÷ (5a3 / 2m2n2)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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