Summation notation, Mathematics

Assignment Help:

SUMMATION NOTATION

Under this section we require to do a brief review of summation notation or sigma notation.  We will start out with two integers, n and m, along with n < m and a list of numbers denoted as given here,

an, an+1, an+2,..............,am-2, am-1, am

We need to add them up, or say as,

an + an+1 + an+2+...........+am-2 + am-1 + am

For large lists it can be a fairly cumbersome notation therefore we establish summation notation to denote these types of sums. The case above is denoted as given here.

864_SUMMATION NOTATION.pngaI = an + an+1 + an+2+...........+am-2 + am-1 + am

The i is termed as the index of summation. This notation gives us to add all the ai's up for all integers starting at n and ending on m.

 For illustration,

252_SUMMATION NOTATION 1.png i/(i+1) = (0/(0 +1)) + (1/(1 + 1)) + (2/(2 + 1)) + (3/(3 + 1)) + (4/(4 + 1)) = 163/60 = 2.71667¯

2176_SUMMATION NOTATION 2.png2i x2i+1 = 24 x9 + 25 x11 + 26 x13 = 16 x9 + 32 x11 + 64 x13

222_SUMMATION NOTATION 3.pngf(xi*) = f(x1*) + f(x2*) + f(x3*) = f(x4*)


Related Discussions:- Summation notation

Compute the quartile coefficient of skewness, By using the above data compu...

By using the above data compute the quartile coefficient of skewness Quartile coefficient of skewness = (Q3 + Q1 - 2Q2)/(Q3 + Q1)                                The positio

How to introduce a child to the symbol for zero, A 'woman was trying to tea...

A 'woman was trying to teach her three-year-old child the numbers from 1to 5 from a children's book on numbers. Each number was illustrated by the same number of trees drawn next t

Gauss-siedel or newton-rapson method, A one-line diagram of a simple three-...

A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled l

Solution by factorization, Solution by Factorization, please solve quadrati...

Solution by Factorization, please solve quadratic equations by Factorization.

Prove the boolean expression, Prove the subsequent Boolean expression: ...

Prove the subsequent Boolean expression: (x∨y) ∧ (x∨~y) ∧ (~x∨z) = x∧z Ans: In the following expression, LHS is equal to:   (x∨y)∧(x∨ ~y)∧(~x ∨ z) = [x∧(x∨ ~y)] ∨ [y∧(x∨

Root test- sequences and series, Root Test- Sequences and Series This ...

Root Test- Sequences and Series This is the final test for series convergence that we're going to be searching for at.  Like with the Ratio Test this test will as well tell wh

Multiplication in decimal notations., Consider the following multiplication...

Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8

Local maxima, Given that f(x,y) = 3xy -  x 2 y  - xy 2 . Fi nd all the poin...

Given that f(x,y) = 3xy -  x 2 y  - xy 2 . Fi nd all the points on the surface z = f(x, y)where local maxima, local minima, or saddles occur

Metric space, Assume that (X, d) is a metric space and let (x1, : : : , x n...

Assume that (X, d) is a metric space and let (x1, : : : , x n ) be a nite set of pointsof X. Elustrate , using only the de nition of open, that the set X\(x1, : : : , x n ) obtain

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