ECZ 2017 · O-Level Paper 2 · Question 5 — Sequences and Series
For the geometric progression 20, 5, 1 14, ...
(a(i)) For the geometric progression 20, 5, 1 14, ..., find the common ratio.[2]
Verified working — step 1
r = second termfirstterm = 520= 14(check: 1.255= …(a(ii)) Find the nth term.[2]
Verified working — step 1
nth term = a rn-1 = …(a(iii)) Find the sum of the first 8 terms.[3]
Verified working — step 1
S_n = a1 - r^n1 - r(b) Simplify 14x^39y^2divided by 7x^418y^3.[2]
Verified working — step 1
Multiply by the reciprocal: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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