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Arithmetic Sequences
Geometric Sequences
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100
What is the 31st term in the sequence with the arithmetic formula: 3(n-1)+ 11
101
100
What is the common ratio, r, of the following sequence 1, 4, 16, 64,...
r = 4
100
Write a recursive equation to represent the given sequence. 


14,22,30,38

An+1 = An+8

100

Does the following function represent a exponential growth or decay?


w(t)=4(.58)t

Decay
100

Find X.



54x + 4 = 436

8
200
What is the 50th term of a sequence if the rule is 3(n-1) + 2?
149
200
What is the common ratio, r, of the following sequence -3, 6, -12, 24,...
r = -2
200
Find the first 3 terms of the following sequence an+1 = an - 7, and a1 = 3
a1 = 3 a2 = -4 a3 = -11
200

Does the following equation represent exponential growth or decay?

d(t)=12(1.34)t

Growth
200

(x3-2x2+3x)-(x3+x-5)

-2x2+2x+5

300
Write an explicit equation to represent the given sequence. 


23,21,19,17

An=23+(n-1)(-2) or -2n+25
300
what is the 6th term of the following sequence if the rule is: a(n) = 4(3)n-1
972
300
Write a recursive formula for the following sequence 4, 19, 34, 49,...

a(n + 1) = an + 15, a(1) = 4.

300
What is the explicit equation for an geometric sequence?

An=A1*(r)n+1

300

Simplify the equation.


(2x2+9)(x-2)

2x3-4x2+9x-18


400
Find an explicit rule for the following sequence 9, 7, 5, 3, 1,...
9-2(n-1)
400
Find the nth term of the following sequence 20, 10, 5, 2.5,...
a(n) = 20(.5)n-1
400
Write a recursive formula for the following sequence 3, -9, 27, -81,...

a(n + 1) = an(-3), and a(1) = 3

400

You make a investment of $30. The investment grows at a rate of 39% annually. Write a function to model the value of the investment after x years.

30(1.39)x

 
400

What is the value of f(16) - f(0) when f(x)=4x-8?

48
500
What is the 50th term of the sequence below. 3, 7, 11, 15,...
199
500
Which one of these sequences are NOT geometric? What kind of sequence is the non-geometric?


1) 8,4,2,1

2) -6,12,-24,48

3) 8,48,384,2,725

3) 8,48,384,2725

 Neither Geometric or Arithmetic

500

Given the recursive equation, identify which type of sequence it represents, then find the first three terms of the sequence.


A(n+1) = An +6

a1 = -2

Arithmetic


-2,4,10

500
Anna bought a car for $10,000, it depreciates (decreases) at a rate of 9% per year. How much will the car be worth in 5 years?
$6,240.32
500

Solve for x.


x2+3x-4=0

x=-4 x=1