ECZ 2022 · O-Level Paper 2 · Question 3 — Sequences and Series
The third and sixth terms of a geometric progression are 34and 332respectively.
(a) Simplify 2x + 142x^2 - 98.[2]
Verified working — step 1
2x + 14 = 2(x + 7) and 2x2 - 98 = 2(x2 - 49) = …(b(i)) Given that the third and sixth terms of a geometric progression are 34and 332respectively, find the first term and the common ratio.[3]
Verified working — step 1
ar2 = 34and ar5 = 332.(b(ii)) Find the nth term.[2]
Verified working — step 1
nth term = a rn-1 = …(b(iii)) Find the sum to infinity of the progression.[2]
Verified working — step 1
Since |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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