3.5 Arithmetic and Geometric Sequences

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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, ...


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