ECZ 2025 · GCE Paper 2 · Question 1 — Sequences and Series
Question from ECZ 2025 · GCE Paper 2 · Question 1
(a) Simplify a2 b32c × ac22b ÷ b2 c2a.[2]
Verified working — step 1
Change the division to multiplication by the reciprocal:(b) For the geometric progression 60, 30, 15, ..., find the
(b(i)) 6th term,[2]
Verified working — step 1
a = 60 and r = 3060 = 12 (check: 1530 = 12).(b(ii)) geometric mean of 15 and 3.75,[2]
Verified working — step 1
The geometric mean of two numbers x and y is √xy.(b(iii)) sum to infinity.[3]
Verified working — step 1
A sum to infinity exists because |r| = 12 < 1.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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