UI Post-UTME Mathematics 2022 (Model questions) Question 7

Question 7

Progressions

Find the sum to infinity of the series 1/4, 1/8, 1/16 ...

  1. A.1/2
  2. B.3/5
  3. C.−1/5
  4. D.73/12
Show the answer and explanation

Answer: A (1/2)

Explanation

a = 1/4 and r = 1/2, so S∞ = a/(1 − r) = (1/4)/(1/2) = 1/2.