Graph
to
equation
to
equation
Points
to
equation
to
equation
Arithmetic
vs
geometric
vs
geometric
Recursive
&
Explicit
&
Explicit
100
When given a graph, the first thing we should look for to begin solving for our exponential equation is...
at least TWO points on the graph.
100
The AMOUNT of equations we create from the given points to solve for our exponential equation is...
two Equations, one from each point given.
100
An Arithmetic sequence is...
A Geometric sequence is...
An arithmetic sequence is a sequence where it is adding or subtracting(adding a negative) the same number(the common difference) over & over
the difference between consecutive terms is always the same*
100
The general form the Explicit Equation is...
The general form the Recursive Equation is...
Explicit:
t(n) = d(n-1) + t(1)
Recursive:
t(1) = ______ ; t(n+1) = t(n) + d
200
Two points on this graph are...
Two points on this graph are...
Any combination of the following points.
(-1, -8) & (0, -4) & (1,-2) & (2, -1)
200
Given (-1,5) & (2, 0.32), the two equations we can create are...
For (-1,5):
5 = a(b)-1
For (2,0.32):
0.32 = a(b)2
200
13, 5.7, -1.6, -8.9,...
Given the above sequence, this sequence is...because...
(arithmetic or geometric?)
Arithmetic because we are adding -7.3(subtracting 7.3) each time
200
Given t(1) = 75 ; t(n+1) = t(n) - 100
the common difference, d, is...
d = -100
300
Given the graph below, the a value is...
a = - 6
300
Given, (2, 112) & (5, 7168), the value for b is...
b = 4
300
625,125,25,...
Considering the sequence above, the sequence is...because...
(arithmetic or geometric)?
Geometric because we are multiplying by
1/5=0.2 (or dividing by 5)
300
Given t(n) = 15.3n + 17.7, the first term t(1) is...
t(1) = 33
400
The value for b of the following graph is...
b = 2/3=0.66
400
Given (2, 1.5) & (7, 364.5)
the exponential equation is...
y=1/6(3)^x
400
Consider the sequence below,
-15.2, -26.7, -38.2...
the following three terms are...
-49.7, -61.2, -72.7,...
400
Given t(n) = 7.5n + 15
The RECURSIVE equation is...
t(1) = 22.5 ; t(n+1) = t(n) + 7.5
500
The equation for the following graph is...
y=4(3/4)^x
500
Given (-1, 15) & (3, 0.384), the exponential equation is...
y=6(2/5)^x
500
Consider the sequence below,
25, 10, 4,...
the following three terms are
1.6, 0.64, 0.256,...
500
Given t(1) = -5 ; t(n+1) = t(n) + 10.6
The EXPLICIT equation is...
t(n) = 10.6n - 15.6