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.
1 1 1 1 1 2 1 2 ? and 40/2=? 2/40=?
Q. Addition Involving Negative Numbers? Ans. When you add together positive and negative numbers, there are essentially three possibilities that you can encounter. Let's e
Max can paint a house in 3 hours. Saria can paint a house in 5 hours. working together, how long will it take both Saria and Max to paint a house?
How many relations are possible from a set A of 'm' elements to another set B of 'n' elements? Ans: A relation R from a set A to other set B is specified as any subset of A
The value of a computer is depreciated over ?ve years for tax reasons (meaning that at the end of ?ve years, the computer is worth $0). If a business paid $2,100 for a computer, ho
Explain the Vertex Formula ? The vertex formula is a convenient way of finding the vertex of the graph for any quadratic function. The graph of the quadratic equation f(x) = ax
How is the probability distribution of a random variable constructed? Usually, the past behavior of the variable is studied and the frequency distribution of the past data is form
We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact
i need help trying make a presentation for my teacher
What are square roots
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