Edexcel C2 — Question 1

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
TopicGeometric Sequences and Series
  1. A geometric series has first term 75 and second term - 15 .
    1. Find the common ratio of the series.
    2. Find the sum to infinity of the series.
    3. A circle has the equation
    $$x ^ { 2 } + y ^ { 2 } + 8 x - 4 y + k = 0 ,$$ where \(k\) is a constant.
  2. Find the coordinates of the centre of the circle. Given that the \(x\)-axis is a tangent to the circle,
  3. find the value of \(k\).
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