Determine series is convergent or divergent by radio test, Mathematics

Assignment Help:

Determine if the following series is convergent or divergent by using Radio Test.

171_Determine series is convergent or divergent by Radio Test 1.png

Solution

With this first illustration let's be a little careful and ensure that we have everything down correctly.  Now Here are the series terms an.

an = (-10)n/42n+1 (n+1)

Remind that to compute an+1 all that there is a requirement to do is substitute n+1 for all the n's in an.

an+1 = (-10)n+1/ 42(n+1)+1 ((n+1)+1

= (-10)n+1/ 42n+3 (n+2)

Now, to illustrate L we will use,

1236_Determine series is convergent or divergent by Radio Test 2.png

As this will be a little easier while dealing with fractions like we've got here.  Thus,

1508_Determine series is convergent or divergent by Radio Test 3.png

Thus, L<1 and so by the Ratio Test the series converges absolutely and therefore will converge.


Related Discussions:- Determine series is convergent or divergent by radio test

Solve the inequality |x - 1| + |x - 2|, Solve the inequality |x - 1| + |x -...

Solve the inequality |x - 1| + |x - 2|≤ 3. Working Rule:    First of all measure the expression to zero whose modulus happens in the given inequation and from this search the va

Indices, advantages and disadvantages of paasche and laspeyres indices

advantages and disadvantages of paasche and laspeyres indices

Determine the height of the washington monument, Determine the height of th...

Determine the height of the Washington Monument to the nearest tenth of a meter. a. 157.8 m b. 169.3 m c. 170.1 m d. 192.2 m c. The height of the monument is the add

Equations and Inequalities, Write an algebraic expression for “Julie runs t...

Write an algebraic expression for “Julie runs three miles less than twice the number of miles,

Circle, a wheel revolves 360 deegre revolution in one minute .Find how many...

a wheel revolves 360 deegre revolution in one minute .Find how many radians will the wheel subtend in one second

Closure : Activity 5.4, A classmate mixes 2 drops of red food coloring for ...

A classmate mixes 2 drops of red food coloring for every 4 drops of blue food coloring. Create a ratio table with 5 entries to represent this situation. Write the entries of the ra

Stats, the automatic hopper loader is set to put 36 tons of coal in each ca...

the automatic hopper loader is set to put 36 tons of coal in each car. the actual weights of coal loaded into each car arw normally distributed with a mean of 36 tons and a standar

Derivative with polar coordinates - parametric equations, Derivative with P...

Derivative with Polar Coordinates dy/dx = (dr/dθ (sin θ) + r cos θ) / (dr/dθ (cosθ) - r sinθ) Note: Rather than trying to keep in mind this formula it would possibly be easi

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