A. What is an alternating series? An alternating series is a whose terms are b. Under what conditions does an alternating series converge?
c. If these conditions are satisfied, what can you say about the remainder after n terms?

A) An alternating series is a "SERIES" whose terms are "ALTERNATIVELY POSITIVE AND NEGATIVE"

B) -It's nth term converges to zero.

- Its terms are non-increasing. This means that each term is either less than or equal to it's predecessor provided we ignore the minus signs.

C) |R_n| = |S - S_n| ≤ |a_(n+1)|

Step-by-step explanation:

A) An alternating series is a "SERIES" whose terms are "ALTERNATIVELY POSITIVE AND NEGATIVE"

B) The 2 conditions for an alternating series to converge are;

-It's nth term converges to zero.

- Its terms are non-increasing. This means that each term is either less than or equal to it's predecessor provided we ignore the minus signs.

C) If the conditions in B above are satisfied, then we can write for the remainder terms that;

|R_n| = |S - S_n| ≤ |a_(n+1)|

Where;

R_n is remainder after n-terms

S is sum of the first n-terms

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.