3.5 Arithmetic and Geometric Sequences
7
The explicit formula for a function is f(n) = 6n + 1. What is the starting value for the recursive form of the function?
13
The explicit formula for a function is f(n) = 8n + 5. What is the starting value for the recursive form of the function?
F
Change the recursive form into an function where n represents the term number.
G
Change the recursive form into an function where n represents the term number.
H
Change the recursive form into an function where n represents the term number.
68
Find the 10th term for the sequence.
384
Find the 6th term for the sequence.
2187
Find the 7th term for the sequence.
C
Find the first four terms
E
Find the first four terms
A
Find the first four terms.
B
Find the first four terms.
D
Find the first four terms.
y = 3/2(2)^x
The diagram below shows the different number of dots for different terms. Write an explicit function that represents the number of dots, y, for any given term number , x.
y = 4x - 3
The diagram below shows the different number of dots for different terms. Write an explicit function that represents the number of dots, y, for any given term number , x.
y = 2x + 1
The diagram below shows the different number of squares for different steps. Write an explicit function that represents the number of squares, y, for any given step number , x.
y = 3x - 2
The diagram below shows the different number of squares for different steps. Write an explicit function that represents the number of squares, y, for any given step number , x.
5
The explicit formula for a function is f(n) = -3n + 8. What is the starting value for the recursive form of the function?
6
The explicit formula for a function is f(n) = -5n + 11. What is the starting value for the recursive form of the function?
d = - 3
What is the common difference for the sequence? 35, 32, 29, 26, ...
d = 5
What is the common difference for the sequence? 9, 14, 19, 24, ...
d = -20
What is the common difference for the sequence? −3, −23, −43, −63, ...
d = -30
What is the common difference for the sequence? −34, −64, −94, −124, ...
r = -6
What is the common ratio for the sequence? -1, 6, -36, 216, ...
r = 2
What is the common ratio for the sequence? −2, −4, −8, −16, ...
r = -5
What is the common ratio for the sequence? −3, 15, −75, 375, ...
f(x) = 1000(1/2)^x
Write an equation that matches the table of values.
f(x) = 10x - 6
Write an equation that matches the table of values.
f(x) = 324(1/3)^x
Write an equation that matches the table of values.
f(x) = 4(2)^x
Write an equation that matches the table of values.
f(x) = 8x + 10
Write an equation that matches the table of values.
f(x)= 5x - 4
Write an equation that matches the table of values.
f(x) = 1/2(2)^x
Write an explicit function (exponential equation) for the sequence 1, 2, 4, 8, ...
f(x) = 5(2)^x
Write an explicit function (exponential equation) for the sequence 10, 20, 40, 80, ...
f(x) = 40(1/2)^x
Write an explicit function (exponential equation) for the sequence 20, 10, 5, 2.5, ...
f(x) = 2(3)^x
Write an explicit function (exponential equation) for the sequence 6, 18, 54, 162, ...
f(x) = -7x + 5
Write an explicit function (linear equation) for the sequence -2, -9, -16, -23, ...
f(x) = 4x - 1
Write an explicit function (linear equation) for the sequence 3, 7, 11, 15, . . .
f(x) = 5x - 1
Write an explicit function (linear equation) for the sequence 4, 9, 14, 19, ...
f(x) = 10x + 2
Write an explicit function (linear equation) for the sequence 8, 18, 28, 38, ...
