Name the test used to show convergence/divergence
Sums
Justification
What is the limit?
Converge or diverge and why?
Mrs. Price trivia
100

sum1/n^2

What is the p-series test?

100

Find the sum of the series:

10 - 20/3 + 40/9 - 80/27 + ...

What is 6?

100

What words need to be written any time you apply the integral test?

What are "the series is positive, continuous and decreasing" ?

100

lim_(n->oo)(-2/5)^n

What is 0?

100

sum_(n=0)^oo(2/3)^n

What is the series converges by geometric series test ?  (|r| = 2/3 < 1)

100

Name one of Mrs. Price's 2 sons

Jeffrey and Daniel

200

sum 1/n

What is the harmonic series or p-series test?

200

Find the sum

What is 14/3 ?

200

What words need to be written any time you apply the alternating series test or the alternating series remainder theorem?

What is "The terms of the series alternate in sign and decrease in absolute value to 0" ?

200


lim_(n->oo)(3n)/(n+1


What is 3?

200

sum_(n=0)^oo(-1)^n2^n/(n!)

What is the series converges by alternating series test ?

(must show the limit and have the statement, "the terms of the series alternate in sign and decrease in absolute value")

200

Mrs. Price has lived in 4 different states.  Name 3 of them.

Illinois, Michigan, Georgia and Minnesota

300

sum (2/3)^n

What is the geometric series test?

300

Write 0.9273273273273273... as a geometric series in sigma notation

What is

300

There are three tests that prove convergence when the limit value is less than 1 and divergence when the limit value is greater than 1.  Name these three tests.

What are the geometric, ratio and root tests?

300

lim_(n->oo)(2^n)/(n!)

What is 0?

300

sum_(n=0)^oo(-1)^n(n!)/2^n

What is the series diverges by nth term test ?

(Must show the limit is DNE)

300

What is Mrs. Price's favorite anime series?

Jojo's Bizarre Adventure

400

sum (lnn)/n

What is the integral test?

400

Find the sum (no calculators)

What is 81/140 ?

400

The terms of a series are:

4 - 8/3 + 4/3 - 8/15 + 8/45 - ...

If the first 3 terms are used to approximate the sum of the series, explain why the error in the approximation must be less than 2/3.

What is:

The terms of the series alternate in sign and decrease in absolute value to 0.  

Error ≤ |-8/15| < 2/3    :)

400

lim_(n->oo)sin((npi)/2)

What is DNE?

400

sum_(n=0)^oo(n^2-2)/(n^5)

What is the series converges either by direct or limit comparison?

(must either show the inequality or the limit)

400

Mrs. Price has 3 pets.  Name one of them.

Cats:  Chief and Captain Awesome

Dog:  Cobbler

500

sum n/(n^3+5)

What is the direct or limit comparison test?

500

Write 1.2494949494949494949... as a fully simplified quotient of two integers (no calculators)

What is 1237/990?

500

If the 

lim_(n->∞)|a_n|=0

then the series converges:  a)  absolutely,   b)  conditionally   or  c)  cannot be determined with the information given

What is c) cannot be determined with the information given

500

lim_(n->oo)(1-2/n)^n

What is e-2?

500

sum_(n=3)^oo(lnn/n)

What is the series diverges by integral test ?

(Must include the statement "the function f(x) = lnx/x is positive, continuous and decreasing" and show the improper integral using correct limit notation)

500

If Mrs. Price was given the choice between:

a)  going to a baseball game

b)  taking a walk with her dog

c)  solving challenging math problems

which would she pick?

b or c are both great choices

If you picked 'a' you don't know me at all.  :(