Explicit Equations
Recursive Equations
Explicit --> Recursive and vv
Is it a part of the sequence?
Graphs of Sequences
100
This is the explicit equation for the following sequence:
6, 10, 14, 18, . . .
What is tn = 6+4(n-1)
100
This is the recursive equation for the following sequence:
5, 9, 13, 17, . . .
What is tn = tn-1 + 4
t(1) = 5?
100
Given the explicit equation, write the recursive equation.
t(n) = 5(n-1) - 32
What is tn = t(n-1) + 5
t(1) = -32?
100
Is 72 a part of the sequence represented by the given equation?
t(n) = 5n + 12
Yes.
100
The type of sequence this graph shows.
What is arithmetic?
200
This is the explicit equation for the following sequence:
-3, -5, -7, -9, . . .
What is t(n) = -3-2(n - 1)?
200
This is the recursive equation for the following sequence:
19, 13, 7, 1, -5 . . .
What is tn = tn-1 - 6
t(1) = 19?
200
Given the explicit equation, write the recursive equation.
t(n) = -9(n-1) + 70
What is tn = tn-1 - 9
t(1) = 70?
200
Is 72 a part of the sequence represented by the given equation?
t(n) = 6n + 3
No.
200
Is the common ratio for this graph of a geometric sequence greater or less than one?
Less than one
300
This is the simplified form of explicit equation for the following sequence:
12, 25, 38, . . .
What is tn=13n-1
300
This is the recursive equation for the following sequence:
4, 20, 100, 500, . . .
What is t(n + 1) = t(n) • 5
t(1) = 4?
300
Given the explicit equation, write the recursive equation.
t(n) = 10 • 6n-1
What is tn = tn-1• 6
t(1) = 10
300
Is 352 a part of the sequence represented by the given equation? If so, which term is it?
t(n) = 9n + 19
Yes, it is the 37th term.
300
The type of sequence this graph shows.
What is arithmetic?
400
This is the explicit equation for the following sequence:
____, 405, 135, 45, . . .
What is t(n) = 1215 • (1/3)n-1?
400
This is the recursive equation for the following sequence:
400, 100, 25, . . .
What is t(n + 1) = t(n) • (1/4)
t(1) = 400?
400
Given the recursive equation, write the explicit equation.
tn = tn-1 - 12, t1= 54
What is t(n) = -12(n-1) + 54?
400
Is 99 a part of the sequence? If so, which term?
17, 20, 23, 26, . . .
No.
400
This is the type of sequence represented in the graph below.
What is geometric?
500
This is the explicit equation for the following sequence:
_______, 600, 40960, 65536, . . .
What is t(n) = 16,000 • 1.6n-1?
500
This is the recursive equation for the following sequence:
4096, 3072, 2304, 1728, . . .
What is t(n = tn-1 • 0.75
t(n) = 4096?
500
Given the recursive equation, write the explicit equation.
t(n) = tn-1 • 8, t(1) = 1.25
What is t(n) = 1.25 • 8n-1?
500
Is 182 a part of the sequence? If so, which term?
28, 39, 50, 61, . . .
Yes, it is the 15th term.
500
This is the type of sequence represented in the graph below.
What is neither arithmetic nor geometric?