Steps for alternating series test, Mathematics

Assignment Help:

Steps for Alternating Series Test

Suppose that we have a series ∑an and either an = (-1)n bn or an = (-1)n+1 bn where bn > 0 for all n.  Then if,  

1.  

2315_Steps for Alternating Series Test.png

2.  {bn} is a decreasing sequence

the series ∑an is convergent.

 


Related Discussions:- Steps for alternating series test

Determine does this point lie on the line, Does this Point Lie on The Line?...

Does this Point Lie on The Line? How do you know if a point lies on a given line? For example, does the point (1, 2) lie on the line 3x + y = 7? If you graph the line and the

Function and relation, how to know if it is function and if is relation

how to know if it is function and if is relation

Proof of the properties of vector arithmetic, Proof of the Properties of ve...

Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w

MUTIPLYING FRACTIONS, EVERY TIME I TRY TO DO ANY KIND OF FRACTIONS WELL MUL...

EVERY TIME I TRY TO DO ANY KIND OF FRACTIONS WELL MULTIPLYING I ALWAYS GET IT WRONG

Explain combining negative signs in integers, Explain Combining Negative Si...

Explain Combining Negative Signs in integers? You've learned about positive and negative integers. BASICS :   When you place a negative sign in front of an integer, you get

Prove that one of three consecutive integers divisible by 3, Prove that one...

Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +

Produce list containing m-vectors delta and lambda, The logarithm of the Po...

The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code: sum(log(outer(x,lambda,dpois) %*% delta)), where delta and lambda are m-ve

Example of complex roots, Solve the subsequent IVP. y'' - 4y' + 9y = 0, ...

Solve the subsequent IVP. y'' - 4y' + 9y = 0, y(0) = 0, y'(0) = -8 Solution The characteristic equation for such differential equation is. As:  r 2 - 4r + 9 = 0

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