Precalculus2 Practice Exam

Test 3 Time: 1.5 hours

  1. Find the partial fraction decomposition of


    Answer: tex2html_wrap_inline215 .

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


    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:


    Answer: The sequence is geometric, and the sum equals


  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:



  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.

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Fri Jul 18 23:19:59 MDT 1997

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