Precalculus2 Practice Exam

Test 3 Time: 1.5 hours


  1. Find the partial fraction decomposition of

    displaymath197


    Answer: tex2html_wrap_inline215 .

  2. Identify the sequence (in the sum) as arithmetic, geometric, or neither and find the sum:

    displaymath198


    Answer: The sequence is arithmetic, and the tex2html_wrap_inline217 .

  3. Identify the sequence as arithmetic, geometric, or neither and find the sum of the first 25 terms. Round your answer to two decimal places:

    displaymath199


    Answer: The sequence is geometric, and the sum equals

    displaymath200

  4. In an arithmetic sequence, tex2html_wrap_inline219 and tex2html_wrap_inline221 .
  5. Use mathematical induction to prove the given formula for every positive integer n:

    displaymath201


    Answer:

  6. An experiment consists of studying the number of boys and girls in families with exactly 3 children. Let b represent boys and g represent girls.

  7. Consider the expression tex2html_wrap_inline231 .
  8. A child has a set of different shaped plastic objects. There are 3 pyramids, 4 cubes, and 7 spheres.

  9. One card is selected from a standard deck of 52 playing cards. What is the probability that the card is a heart or a two?


    Answer: tex2html_wrap_inline239 or approximately 0.3077.

  10. From a group of 16 smokers and 20 nonsmokers, a researcher wants to randomly select 8 smokers and 8 nonsmokers for a study. In how many ways can the study group be selected?


    Answer: In tex2html_wrap_inline241 different ways.


If you would like to practice on Exam 4, click on Next Exam.

If you would like to return to the original menu, click on Menu.


Fri Jul 18 23:19:59 MDT 1997

Copyright 1999-2017 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour