Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Miscellaneous
100
What is the rule for finding the nth term of an Arithmetic Sequence?
an = a1 + d(n - 1)
100
What is the forumla for the sum of an Arithmetic Series
Sn=n[(a1+an)/2]
100
What is the formula for a geometric series?
What are the first four terms of the following sequence? ann=3*(-1/3)n-1
an = a1 rn-1
3, -1, (1/3), (-1/9)
100
What is the formula for the sum of a geometric series.

Must have both partial and infinite sum.
Sn=a1[(1-rn)/(1-r)]


Sinfinity=a1/(1-r)
|r|<1
100
The first 4 iterates of f(x)=-x2-2x-4 and x1=2
What is -12, -124, -15132, and -228947164?
200
Write the simplified rule for the following arithmetic sequence:
-24, -20, -16, ...
an=4n-28
200
Find the sum of the following sequence: 1,2,3,4,5,6....114
6555
200
Write a recursive formula for the following sequence: 8, -4, 2, -1, ...
a1= 8 an=(-1/2)*an-1
200
Find the sum of the following sequence: 3, 12, 48, ... , 196608
262,143
200
The sum of the series from 1 to 5 of 9(2)i-1
What is 279?
300
How many terms are in the following sequence? 1,3,5,7...43
22 terms
300
Find S98 for the following series:
0.2, 0.4, 0.6, ...
970.2
300
What is the 17th term of the following sequence? 65, 45.5, 31.85, 22.295, ...
0.22 OR 0.2160140487
300
Susan started a new running program... on May 1st she ran 0.2 miles. Her plan each day is to double the amount she ran the day before. How many total miles will she run during the month of May? Is this really a possible training regimen??
429,496,729.4 miles - no way this is possible :-)
300
The rule when Cheryl is in generation 1, her parents in generation 2, and so on where an is the number of relatives in generation n.
an=2n-1
400
What are the first four terms of the following sequence?
a1=12
an=an-1 + (-23)
12, -11, -34, -57
400
Cans are stacked in a display of rows with 1 can in the top row, 4 cans in the second row, 7 cans in the third row and so on. If there are 298 cans in the bottom row, how many cans total are there in the display?
14,950 cans
400
What is the equation to find the nth of this sequence? What is the 10th term of this sequence?

3, 15, 75, 375...
an=3*5n-1
5859375
400
A new shoe company sold $10,000 worth of product in their first month. They believe they will increase sales by 15% each month over their first year. If this increase does occur what will be the total sales for the company in their first year?
$290,016.67
400
The rule of the geometric sequence with terms a3=12 and a5=48.
an=3(2)n-1
500
Cans are stacked in a display of 25 rows with 1 can in the top row, 3 cans in the second row, 5 cans in the third row and so on. How many cans are in the 12th row?
23 cans
500
Write the rule for the sequence and find the sum of all terms.
8.9,17.8,26.7,35.6,44.5 ... 1619.8
an=8.9n
Sn=148,211.7
500
Eddie just bought a new car for $16,000. If the car depreciates at 8% per year how much will the car be worth at the end of 10 years?
$7,554.58
500
You decide to save money for a car. On the first day you deposit $500 into an account. Every two weeks you deposit 5% more than you did the previous time. How much money will you have in the account after 112 days?
$4774.55
500
The recursive rule for a town's population when the population increases at a rate of about 1% per year. In 2000, the town had a population of 26,000. (Let n=1 represent year 2000.)
a1=26000 and an=1.01an-1
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