Sigma Notation-General Mathematics-Lecture Handout, Exercises of Elementary Mathematics

This course contains basic of maths. Primary concepts like line, graph, calculus theorem, chain rule, series, sequence, coordinate, function, derivative, integral, areas, tangent line, limit are part of this course. This lecture includes: Sigma, Notation, Index, Summation, Properties, Successive, Formulas, Method, Example, Limit

Typology: Exercises

2011/2012

Uploaded on 08/08/2012

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MGT101
LECTURE 27
Sigma Notation
Similarly if f(k) is a function of k, and a and b
are integers such that
ab
, then
b
ka
fk
denote the sum of the terms that result when we
substitute successive Integers for k, stating
with k=a and ending with k=b i.e.
Here are some of its examples.
4 4 4
2 2 2
1 1 1
2 2 2 2
,
1 2 3 4
i m p
i m and p denote the same
sum
Thus
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MGT

LECTURE – 27

Sigma Notation

Similarly if f(k) is a function of k, and a and b

are integers such that a^  b , then

k^  b  a^ f^ ^ k 

de substitute successive Integers for k, statingnote the sum of the terms that result when we with k=a and ending with k=b i.e. Here are some of its examples.

(^4 2 4 2 )

i i^ m m^ and^ p p^ denote the same

sum

  

Thus

Sigma Notation

2 3 3 1 2 1

i ^ k^^ ^ and^  ii  2 ^1  2  3 involve the index of summation, then we take^ If in the expression^ to right of does not all the terms in the same to be the same, with each allowable value of the summation index. Thus,

Changing the Index of Summation

the sigma notion for a given sum to a sigma not^ On occasion we shall want to change -

  • following example illustrate a method for doingation with different limits of summation. The this.

sum, then general sum for three and n t^ If we want to represent the sum as generalerms are;