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.
Katie ran 11.1 miles over the last three days. How many miles did she average per day? To ?nd out the average number of miles, you should divide the total number of miles throu
What was the US's policy towards Latin America during the 20th century? What were the motives behind this policy? Give one example of the US executing this policy?
Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms. It i
Find a minimum cost spanning arborescence rooted at r for the digraph shown below, using the final algorithm shown in class. Please show your work, and also give a final diagram w
Interpretations of derivatives. Example: Find out the equation of the tangent line to x 2 + y 2 =9 at the point (2, √5 ) .
Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T
3456+3694
For schedule consistency, you decide to require each officer to report for their eight-hour shift at 12 AM, 4 AM, 8 AM, 12 PM, 4 PM, or 8 PM. As the Director of Public Safety, you
The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles (Ans: 77, 63) Ans: d 1 + d 2 = 2.8 m=
Rachel had 3.25 quart of ice tea. her family drank 9 cups.How many cups are left
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