Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Alternating Series Test - Sequences and Series
The final two tests that we looked at for series convergence has needed that all the terms in the series be positive. Actually there are several series out there that have negative terms in them and thus we now need to start looking at tests for these types of series.
The test which we are going to look into in this part will be a test for alternating series. An alternating series is some series, ∑an , for that the series terms can be written in one of the subsequent two forms.
an = (-1)n bn bn > 0
an = (-1)n+1 bn bn > 0
There are so many other ways to deal with the alternating sign, although they can all be written as one of the above two forms. For illustration,
(-1)n+2 = (-1)n (-1)2 = (-1)n
(-1)n+1 = (-1)n+1 (-1)-2 = (-1)n+!
Certainly there are many others, but they all follow similar basic pattern of reducing to one of the first two forms that given. If you should happen to run into a dissimilar form than the first two, don't worry about transforming it to one of those forms, just be alert that it can be and thus the test from this section can be used.
Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution
If the point (a,2a) is an interior point of the region bounded by the parabola y2=16x and the double ordinate through the focus then a belongs to
If a single person makes $25,00 a year, how much federal income tax will he or she have to pay ?And they are gining me a chart that says $0 to $27,050 is 15% of taxes .
Two tangents TP and TQ are drawn to a circle with center O from an external point T.prove that angle PTQ=angle 2 OPQ
Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b
The scores of students taking the ACT college entrance examination are normally distributed with a mean µ = 20.1 and a standard deviation σ = 5.8. a) A single student is sele
Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.
Can we solve the Quadratic Equations by completing the square method? if yes explain it.
Series - The Basics That topic is infinite series. So just define what is an infinite series? Well, let's start with a sequence {a n } ∞ n=1 (note the n=1 is for convenie
an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 30 years hence is 2/3.Find the p
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd