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.
there are 5 small cubes and it reads the 5 small cubes is 1/100, then what is the ONE?
A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. Where is the bus in relat
A pool is surrounded through a deck that has the similar width all the way around. The total area of the deck only is 400 square feet. The dimensions of the pool are 18 feet throug
Q. Find Probability of tossing a head with the dime? List the sample space, and find n(S), for the outcomes of tossing a nickel followed by a dime. What is the probability of t
For a population with a mean of μ=70 and a standard deviation of o=20, how much error, on average, would you expect between the sample mean (M) and the population mean for each of
the cost of paint used in a redecorating job is $65.70 .This is a reduction from its original cost of $82.13 .What is the percent decrease in the cost of paint to the nearest perce
If the roots of the equation (b-c)x 2 +(c-a)x +(a-b) = 0 are equal show that a, b, c are in AP. Ans: Refer sum No.12 of Q.E. If (b-c)x 2 + (c-a) x + (a-b) x have equ
1. The length of a rectangle is 2 times its width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle. 2. The length of a rec
Finding the number of Permutations of 'n' dissimilar things taken 'r' at a time: After looking at the definition of permutations, we look at how to evolve a
Simplify following. Suppose that x, y, & z are positive. √ y 7 Solution In this case the exponent (7) is larger than the index (2) and thus the fir
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