CSEC Additional Mathematics · 2019 · Paper 2 · Question 2(b)
A geometric series can be represented by y/x + y²/x³ + y³/x⁵ + ...
Prove that S∞ = xy(x² - y)⁻¹.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 2(a)(i)Express f(x) = -2x² - 7x - 6 in the form a(x + h)² + k.[3 marks]
- 2(a)(ii)State the maximum value of f(x).[1 mark]
- 2(a)(iii)State the value of x for which f(x) is a maximum.[1 mark]
- 2(a)(iv)Use your answer in (a)(i) to determine all values of x when f(x) = 0.[3 marks]
- 2(a)(v)Sketch the function f(x) and show your solution set to (a)(iv) when f(x) < 0.[2 marks]
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