Properties of summation notation, Mathematics

Assignment Help:

Properties

Now there are a couple of formulas for summation notation.

1.

489_SUMMATION NOTATION 4.png

here c is any number. Therefore, we can factor constants out of a summation.

2.

796_SUMMATION NOTATION 5.png

Therefore we can break up a summation across a sum or difference.

Consider that we started the series at i0 to denote the fact as they can begin at any value of i which we require them to. Also consider that whereas we can break up sums and differences whereas we did in 2 above we cannot do similar thing for products and quotients. Though,

756_SUMMATION NOTATION 6.png

1611_SUMMATION NOTATION 7.png


Related Discussions:- Properties of summation notation

What are the average total repair costs per month, An automobile manufactur...

An automobile manufacturer needs to build a data warehouse to store and analyze data about repairs of vehicles. Among other information, the date of repair, properties of the vehic

Taylor series - series solutions to differential equations, Once we get out...

Once we get out of the review, we are not going to be doing a lot with Taylor series, but they are a fine method to get us back into the swing of dealing with power series. Through

Series solutions to differential equations, Before searching at series solu...

Before searching at series solutions to a differential equation we will initially require to do a cursory review of power series. So, a power series is a series in the form, .

Solving a system of 2 equations addition-subtraction method, Solving a Syst...

Solving a System of 2 Equations Using the Addition/Subtraction Method To solve a system of linear equations using the addition/subtraction method, both equations should first b

How many white marbles does the jar contain? , A jar contains 54 marbles e...

A jar contains 54 marbles each of which is blue , green or white. The probability of selecting a blue marble at random from the jar is 1/3  and the probability of selecting a green

Find relative extrema f ( x ) = x2 on [-2, Recognizes the absolute extrema...

Recognizes the absolute extrema & relative extrema for the given function.  f ( x ) = x 2        on                  [-2, 2] Solution Following is the graph for this fun

Learning to count in maths, Here we learn: 1) Discussed what counting me...

Here we learn: 1) Discussed what counting means, and stressed that it is not the ability to recite number names. 2) Talked about the need for a child to understand several pr

Angels, angel 1 and angel 2 are what angels?

angel 1 and angel 2 are what angels?

Relation between hieght, volume=(1/3)(pi)(radius of base)2(height) curved ...

volume=(1/3)(pi)(radius of base)2(height) curved surface area=(pi)(r)(l), r is radius of base and l is length of straight line connecting apex of cone with point on edge of base

Divisiblety test, find the greater value of a and b so that the following e...

find the greater value of a and b so that the following even numbers are divisible by both 3 and 5 : 2ab2a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd