Math 106 Quiz 7 - March 14, 2008: Sequences and Series, Exercises of Calculus

The instructions and problems for quiz 7 of math 106, held on march 14, 2008. The quiz covers topics related to sequences and series, including calculating limits of sequences and evaluating convergent series. Students are required to show all their work and final answers.

Typology: Exercises

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Uploaded on 03/16/2013

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NAME:
Math 106 - Quiz 7 - March 14, 2008
Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and
books are not.
1. (10 pts.) Consider the sequence a1, a2, a3, . . . given by ak=k2+ 1 k. Calculate the limit of this
sequence.
2. (10 pts.) Evaluate the series 1
7+1
14 +1
28 +1
56 +. . . .

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Math 106 - Quiz 7 - March 14, 2008

Instructions: Show all of your work and circle your final answers. Calculators are allowed, but notes and books are not.

  1. (10 pts.) Consider the sequence a 1 , a 2 , a 3 ,... given by ak =

k^2 + 1 − k. Calculate the limit of this sequence.

  1. (10 pts.) Evaluate the series 17 + 141 + 281 + 561 +....