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Material Type: Exam; Professor: McNeilly; Class: Preparation for Calculus; Subject: Mathematics; University: University of Illinois - Urbana-Champaign; Term: Fall 2010;
Typology: Exams
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(b) (2pts) Evaluate the series.
k=
k − 5 2 k − 13 (a) (4pts) Expand the sum.
(b) (3pts) Compute the sum.
n=
4 rn−^1. For each indicated value of r, tell whether the series is convergent
or divergent. If convergent, state the value of the series. (a) (2pts) r = 1
(b) (2pts) r =^45
(c) (2pts) r = − 109
(b) (3pts) Find the 20th partial sum. (You do not need to completely simplify.)
(c) (2pst) Find the N th^ partial sum. (You do not need to completely simplify.)
(d) (4pts) Evaluate the series.
(a) (2pts) Express α as a decimal.
(b) (2pts) Explain what about the decimal representation of α tells you it is a rational number.
(c) (5pts) Find the rational number representation of α.