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UI Post-UTME Mathematics 2014 Question 22

Question 22

Progressions

The sum to infinity of a Geometric series is 250. Find the common ratio of the series if its first term is 350

  1. A.1/5
  2. B.−5/7
  3. C.−2/5
  4. D.1⅖
Show the answer and explanation

Answer: C (−2/5)

Explanation

350/(1 − r) = 250, so 1 − r = 1.4 and r = −2/5.