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Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Vocabulary
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(n=1=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
This is the fourth partial sum of the geometric series -5+25 -125+625 …
What is 520.
100

This type of sequence adds a common difference between each term.

What is an arithmetic sequence.

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

These values of r indicate that a geometric series has an infinite sum.

What is r between -1 and 1

200

This type of sequence multiplies by a common ratio in between each term.

What is geometric sequence.

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 S_20 for the geometric series 2+4+8+16+…
What is 2,097,148
300

This word is used to represent a sequence that is being added together.

What is a series.

400
This is the missing term in the arithmetic sequence 101, __, -115, ...
What is -7
400
This is the summation notation formula for the arithmetic series 3+6+9+12+...; n=33.
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 sum of the infinite geometric series 1.1+0.11+0.011+…
What is 1 2/9 or 1.2 ̅
400

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

What is converge.

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 a_40 when a_1=4 and S_40=6080 (for an arithmetic series).
What is 300.
500
Suppose you save $1 on the first day of a month, $2 the second day, $4 the third day, and so on. This is the amount of money you will set aside on the 15th day of the month.
What is $16,384
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

This Greek letter means "to sum."

What is sigma.