Sequences and Functions
What operation is used in the pattern of an arithmetic sequence?
Addition (or subtraction)
Is this a polynomial?
3x^2+2x^0.5+10x-1
No
What is the value of 43 ?
64
What is 18-x, when x=7
11
3+2(4)
11
What type of sequence is this?
5, 10, 20, 40, 80
Geometric
What is the y-intercept of this polynomial:
y=(x+2)(x-6)(2x-8)
y=96
What is 125 in expanded form?
12*12*12*12*12
What is the value of 7x when x=7?
49
(4-2)/(5-3)
1
What type of definition is this?
f(0)=87, f(n) = 5+f(n-1)
Recursive definition
What are the zeros for this polynomial?
y=x^2+x-42
x=6, x=-7
What is the value of this?
sqrt(64)
8
Find g(3), when
g(n)= n^2+7
16
(4+8)/6
2
Write the first four terms of this sequence?
f(n)=27-4(n-1)
27, 23, 19, 15
Find the missing factor for this polynomial:
(x-3)(?)=(2x^3+5x^2-28x-15)
2x^2+11x+5
What is the radicand when the index is three and the value is 2?
(root(3)(x) = 2)
The radicand is 8 (x=8)
Find f(-2), when
f(x) = x^2+5x+6
0
5^2-8(3)
1
Write a recursive and explicit definition for the following sequence:
f(1) = 2, f(2)= 8, f(3) = 32, f(4) = 128, f(5) = 512
Recursive definition:
f(1) = 2, f(n) = f(n-1) * 4
Explicit definition:
2*4(n-1)
According to the remainder theorem, is (x+2) a factor of
x^3-3x^2+6x-18
If there is a remainder, what is it?
No
Remainder = -50
What is this in exponent form?
sqrt(25)
25^(1/2)
If 12x+6=15, what is 8x+11?
17
(4+(17-13)^2*8)/6
22