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The solutions to quiz # 21 for the mth 120 course offered by the division of mathematics at essex county college during the summer of 2005. The quiz covers topics such as algebraic expressions, rational numbers, and infinite series. Students are advised to show all work clearly and justify their answers algebraically whenever possible. The quiz consists of 10 questions and has a time limit of 20 minutes. Solutions provided include finding the value of pk+1, representing a repeating decimal as a rational number, and evaluating an infinite geometric series.
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MTH 120 — Summer — 2005 Essex County College — Division of Mathematics Quiz # 2^1 — May 11, 2005
Name: Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics.
Given that Pk = k 2 · [5k − 3] , find Pk+1.
Find the rational number representation of the given repeating decimal.
Use summation notation to write the given sum. 3 + 9 + 27 + 81 + · · · + 729
Evaluate the given infinite geometric sum. ∑^ ∞ n=
9 n
(^1) This document was prepared by Ron Bannon using LATEX 2ε. 1