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Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Garcia Trivia
100
What is the formula for an Arithmetic Sequence?
an = a1 + (n - 1)d
100
What is the forumla for an Arithmetic Series
Sn=(n/2)(a1+an
100
What is the formula for a geometric series? What are the first four terms of the following sequence? Tn=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)
r =/= 1 (r!=1)

Sinfinity=a1/(1-r)
|r|<1
100

Name a sport I was active in when I was in high school.

Track, Cross Country, and/or Rugby

200
Write an explicit formula for the following sequence:
-24, -20, -16, ...
Tn=4n-28
200
Find the sum of the following sequence: 1,2,3,4,5,6....111,112,113,114
6555
200
Write a recursive formula for the following sequence: 8, -4, 2, -1, ...
T1=8 Tn=(-1/2)*Tn-1
200
Find the sum of the following sequence: 3, 12, 48, ... , 196608
262,143
200

What high school did I go to?

Strake Jesuit College Preparatory

300
How many terms are in the following sequence? 1,3,5,7...43
21 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
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

I often have music thats considered "trash music". To further prove this, I recently bought myself a record player and 3 records. Name the genre of music or artist of one of these records.

Classical (Beethoven), Opera (Pagliacci), and 2001 by Dre (Rap)

400
What are the first four terms of the following sequence?
T1=12
Tn=Tn-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 89th term of this sequence?

3, 15, 75, 375
3*589-1
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

I have taught for 3 years now. Including students at this school, what is the grade range that I have taught so far?

6th - 12th

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 equation and find the sum of this series
8.9,17.8,26.7,35.6,44.5 ... 1619.8
an=8.9n
Sn=(182/2)(8.9+1619.8)
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?
$6,950.22
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

I once survived climbing the side of a snowy mountain in Colorado. With a light jacket and joggers. The snow was waist deep. What small town was I in?

Telluride