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5 marksSum of a Convergent Geometric Series

CSEC Additional Mathematics · 2013 · Paper 2 · Question 2(c)

A series is given as 1/4 + 2/4² + 1/4³ + 2/4⁴ + ... . This series can be rewritten as the sum of two geometric series.

Find the sum to infinity of the following series: 1/4 + 2/4² + 1/4³ + 2/4⁴ + ... .

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Other parts of this question

  1. 2(a)(i)Express f(x) in the form a(x + h)² + k where h and k are constants.[3 marks]
  2. 2(a)(ii)State the minimum value of f(x).[1 mark]
  3. 2(a)(iii)Determine the value of x for which f(x) is a minimum.[1 mark]
  4. 2(b)Find the set of values of x for which 2x² + 3x - 5 ≥ 0.[4 marks]

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