Sigma Notation Exercise: Mastering Skills for Efficient Homework, Assignments of Analytical Geometry and Calculus

A sigma notation practice exercise to help students master the notation and complete their homework efficiently in the first two weeks of the course. The exercise includes various expressions and their corresponding values for students to pair up. Solutions are provided on the last page.

Typology: Assignments

Pre 2010

Uploaded on 03/11/2009

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Sigma Notation Practice
Your life in the first two weeks of this course will be significantly easier if you learn to use the notation
properly and if you are organized and complete on your homework. For instance, you should practice
using sigma notation (Here is a quick exercise). Each expression below evaluates to a given number, see
if you can pair up each value with the correct expression (Solutions are on the last page):
A.
4
X
k=1
ka. -2
B.
3
X
i=2
i2b. -1
C.
10
X
i=9
90
ic. 0
D.
1
X
i=1
ln(i) d. 4
E.
1
X
k=โˆ’1
(k+ 1)! e. 10
F.
3
X
n=1
(โˆ’1)nf. 13
G.
3
X
j=1
jcos(ฯ€j) g. 16
H.
2
X
k=0
(2k+ 1)2
โˆ’1
2h. 19
Solutions on next page.
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Your life in the first two weeks of this course will be significantly easier if you learn to use the notationSigma Notation Practice properly and if you are organized and complete on your homework. For instance, you should practiceusing sigma notation (Here is a quick exercise). Each expression below evaluates to a given number, see if you can pair up each value with the correct expression (Solutions are on the last page):

A.โˆ‘ k=1^4 k a. - B.โˆ‘ i=2^3 i^2 b. - C.โˆ‘ i^10 =9^90 i c. 0 D.โˆ‘ i=1^1 ln(i) d. 4 E. kโˆ‘=^1 โˆ’ 1 (k + 1)! e. 10 F.โˆ‘ n=1^3 (โˆ’1)n^ f. 13 G.โˆ‘ j=1^3 j cos(ฯ€j) g. 16 H.โˆ‘ k=0^2 (2k^ + 1) 2 2 โˆ’^1 h. 19 Solutions on next page.

Solutions to the Sigma Notation Exercise A-e, B-f, C-h, D-c, E-d, F-b, G-a, H-g.