Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Identify the Sequence
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?
an = a1 rn-1
100
What is the formula for the sum of a geometric series.
Must have both finite and infinite sum.
Sn=(a1(1-rn))/(1-r)
Sinfinity=a1/(1-r)
|r|<1
100
1, 3, 5, 7, 9
Arithmetic
200
Write an explicit formula for the following sequence:
-24, -20, -16, ...
-24, -20, -16, ...
Tn=4n-28
200
Find S21:
2, 4, 6, 8...
451.5
200
What are the first four terms of the following sequence? an=3*(-1/3)^n-1
3, 1, (1/3), (1/9)
200
Find the sum of the following sequence:
-24,708
200
2, 4, 8, 16, ...
Geometric
300
Write a formula for: 1,3,5,7...
an=2x-1
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, on May 2nd she ran 0.4, and on May 3rd she ran 0.8. 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
What is 1, -2, 4, -8, ...
Geometric
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. How many total cans are stacked if there are 12 rows?
210 cans
400
What is the equation to find the formula for the nth term in this sequence?
3, 15, 75, 375
3*5n-1
400
Find S9
{−6561 + 2187 − 729 + 243+ ...}
-4921
400
10, -10, -30, -50, ...
Arithmetic
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
The football team is running a jackpot in which the prize will start at $2500 for the first game, and then increase $500 each game. If you win 7 jackpots in a row, what is the total amount of money you win?
$28,000
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
The construction crew is pounding a stake into the ground. On the first strike, it goes 24 centimeters into the ground, 18 centimeters further on the second strike, then 13.5 centimeters further on the third strike. If this pattern continues, find the total distance the stake was driven after seven strikes.
83.19cm
500
1, 1, 2, 5, 8, ...
Neither