Show:
Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Infinite series
100
These are the next 3 terms of the arithmetic sequence 1, 4, 7, 10, 13, ...
What are 16, 19, 22.
100

This is the number of terms in the arithmetic series ∑(n=1;3) (5n+1)

What is 3.

100
These are the next 3 terms of the geometric sequence 45, 90, 180, 360, ...
What are 720, 1440, 2880
100

What is the sum of the first 4 terms of the geometric series 

-5 + 25 - 125 + …

What is 520.

100

For what values of the common ratio "r" indicate that an infinite geometric series does not have a sum.

What is r not between -1 and 1

200
Whether or not this sequence is arithmetic 0, 3, 7, 12, 18, ...
What is no.
200
This is the fifth partial sum of the arithmetic series 2+4+6+8+10+12+...
What is 30.
200
Whether or not this sequence is geometric 7, 0.7, 0.07, 0.007, ...
What is yes.
200

The sum for ∑(n=3;7) ((4)n-1)

What is 21824

200

The word that is used to describe a sequence that is being added together.

What is a series.

300
This is the explicit formula for the arithmetic sequence -2, 5, 12, 19, ...
What is a_n= -2+7(n-1)
300
This is S_100 for the arithmetic series 2+3+4+5+…
What is 5150.
300

This is the explicit formula for the geometric sequence -5, 10, -20, 40, ...

What is a_n=-5*(-2)n-1

300

This is S20 for the geometric series 2+4+8+16+…

What is 2,097,148

300

This word refers to an infinite geometric series that approaches a specific sum.

What is "converge".

400
This is the missing term in the arithmetic sequence 101, __, -115, ...
What is -7
400

Show the summation notation for the sum of the first 33 terms of the arithmetic series 3+6+9+12+...

What is ∑(n=1;33) 3n

400
This is the missing term in the geometric sequence 9180, __, 255, ...
What is 1530.
400

This is the number of terms in the arithmetic series ∑(n=1;5) (3(2)n-1)

What is 93

400

What is the sum of the infinite geometric series 

3 + 15/4 + 75/16 + …

What is the series diverges and does not have a sum. 

500

A contractor must pay a penalty if work on a project is not completed on time. The penalty on the first day is $300. The penalty increases to $500 on the second day, to $700 on the third day, and so on. The contractor ended up having to pay a penalty of $4500. This is the number of days after the due date that the project was completed.

What is 22

500

This is the value of a40 when a1=4 and S40=6080 (for an arithmetic series).

What is 300.

500

The 7th term of the sequence 

6/7, 12/21, 24/63, ...

What is a7=128/1701

500
Contagious diseases can spread very quickly. Suppose 5 people are ill during the first week of an epidemic and that each person who is ill spreads the disease to four people by the end of the next week. This is the total number of people affected by the illness at the end of the 10th week.
What is 1,747,625.
500

What is the sum of the infinite geometric series 1.1+0.11+0.011+…

What is 1 2/9 (11/9) or 1.2 ̅