Explicit & Recursive Equations
Sequences
Exponents
Find Equation of Line
Anything Goes
100
100, 98, 96, 94, ...
What is the explicit equation?
t(n) = -2n+102
100
3, 9, 27, 81,...
Is this geometric or arithmetic? What is the common difference or multiplier?
Geometric with multiplier of 3
100
Simplify
(-3x3y)2
9x6y2
100
Write the equation of a line through (0,2) and (1,-3)
y= -5x+2
100
Solve for x
5-2(x-3)=x+1
x= 10/3
200
Find the first four terms given the recursive equation:
t(n+1)=t(n) x 5
t(1)=-2
-2, -10, -50, -250
200
t(n+1)=3t(n)
t(1)=2
Find the first four terms
2, 6, 18, 54
200
Simplify
(4x5yz0)(-6xy3)
-24x6y4
200
Write the equation of the line with a slope of -2/3 that goes through the point (9,1)
y= -2/3x+7
200
4x/3 - 5=x + 1/4
x = 63/4
300
12, 15, 18, 21
What is the recursive equation?
t(n+1)=t(n)+3
t(1)=12
300
-6, 200, 406,...
Is this geometric or arithmetic? What is the common difference or multiplier?
Arithmetic with a difference of 206
300
Simplify
(4x2y)2(3xy5)
48x5y7
300
Write the equation of a line going through (-4,1) and (-2,-5)
y= -3x-11
300
Multiply
(2x-5)(x+7)
2x2+9x-35
400
6, 9, 12, 15
Is t(n) = 189 a term in the sequence? If so, what term number is it?
Yes, the 62nd term
400
100, 20, 4, 4/5
Is this arithmetic, geometric, or neither?
State the common difference/multiplier if there is one.
Geometric with a multiplier of 1/5 or 0.2
400
Simplify
8x5y2/20x3y5
2x2/5y3
400
Write the equation of a line going through (4,-2) and (-4,-4)
y= 1/4x - 3
400
The number of Samsung 9+ in stock. Is this a discrete or continuous variable?
Discrete
500
10, 15, 20, 25
What is t(101)?
510
500
6, 7.2, 10.8, 16.2,...
Is this arithmetic, geometric, or neither?State the common difference or multiplier if there is one.
Neither
500
Simplify
-30xy-7z0/-24x5yz4
5/4 x-4y-8z-4
500
Write the equation of the line going through (-5,-2) and (3,-1)
y= 1/8x - 11/8
500
Graph the equation y = -1/4x + 2
