passwella.
Menu

OAU Post-UTME Mathematics 2022 (Batch A) Question 13

Question 13

Progressions

To what value does this progression converge? 0.4444…

  1. A.9/4
  2. B.2/9
  3. C.10/11
  4. D.4/9
Show the answer and explanation

Answer: D (4/9)

Explanation

0.444… = 4/10 + 4/100 + … is a G.P. with a = 4/10 and r = 1/10. Sum to infinity = (4/10)/(9/10) = 4/9.