ECZ 2019 · GCE Paper 2 · Question 1 — Sequences and Series

Question from ECZ 2019 · GCE Paper 2 · Question 1

(a) Simplify 10x³ y²35x⁵ y⁴ ÷ 2x² y²7x⁴ y².[2]

Verified working — step 1

Dividing by a fraction means multiplying by its reciprocal.

(b) In a geometric progression, the third term is 16 and the fifth term is 4. Calculate

(b(i)) the first term and the common ratio,[3]

Verified working — step 1

Let the first term be a and the common ratio r.

(b(ii)) the tenth term,[2]

Verified working — step 1

The nth term is a r^n-1.

(b(iii)) the sum to infinity.[2]

Verified working — step 1

Since |r| < 1, the sum to infinity is a1 - r.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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