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

Geometry, Note on point of tangent

Note on point of tangent

Mechanics, find the composition of the simple harmonic motion of the same p...

find the composition of the simple harmonic motion of the same period in the perpendicular directions

Division of two like terms, Case 1: Suppose we have two terms 8ab and 4ab. ...

Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the

Find the middle term of the arithmetic progressions, Find the middle term o...

Find the middle term of the AP 1, 8, 15....505. A ns:    Middle terms a + (n-1)d = 505 a + (n-1)7 = 505 n - 1 = 504/7 n = 73 ∴ 37th term is middle term a 37

Matrices, Give me the assignment on the matrices...

Give me the assignment on the matrices...

Volume of prisms, How did the teacher get 30 + 12 + 1.5 for the equation of...

How did the teacher get 30 + 12 + 1.5 for the equation of volume of rectangular prism measuring L=14.4, W= 3, and H= 5? Formula given was V= Bh. My answer was 43.5.14.5 x 3.

Hyperboloid of two sheets - three dimensional spaces, Hyperboloid of Two Sh...

Hyperboloid of Two Sheets The equation which is given here is the equation of a hyperboloid of two sheets. - x 2 /a 2 - y 2 / b 2 + z 2 /c 2 = 1 Here is a diagram of

Hi, how do you find the distance between the sun and earth

how do you find the distance between the sun and earth

Compute the probability, From past experience a machine is termed to be set...

From past experience a machine is termed to be set up correctly on 90 percent of occasions.  If the machine is set up correctly then 95 percent of good parts are expected however i

PROBABILITY.., Urn A contains 1 white,2 black and 3 red balls;Urn B contain...

Urn A contains 1 white,2 black and 3 red balls;Urn B contains 2 white,1 black and 1 red balls;and Urn C contains 4 white,5 black and 3 red balls.One urn is chosen at random and two

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