Arithmetic and Geometric Sequences

Arithmetic or Geometric?

100

-5, -10, -15, -20

This is an Arithmetic sequence 

Common difference = -5

200

3, 12, 21, 30...

This is an Arithmetic Sequence?

Common difference = 9

300

-2, -4, -8, -16...

This is a Geometric Sequence?

Common ratio = 2

400

2, -6, 18, -54...

This is a Geometric Sequence?

Common ratio = -3

500

-4, 2, -1, 1/2

This is a Geometric sequence 

Common ratio: -1/2

Find the common difference or ratio

100

The Common Difference of:

-20, -23, -26, -29...

Common difference = -3

200

The Common Ratio of:

3, -6, 12, -24, 48...

Common ratio = -2

300

The Common Difference of:

18, 22, 26, 30...

Common difference = 4

400

The Common Ratio of the Sequence:

3, 9, 27, 81...

Common ratio = 3

500

The Common Ratio of:

1000, 200, 40, 8...

Common ratio = 1/5 or 0.2

Gimme that missing term

100

-3, 1, 5, 9, ___, 17, ...

13

200

5, 30, 180, ____ ...

1,080

300

3, 11, ___ 27, 35 ...

19

400

DAILY DOUBLE

Find the missing terms in the following arithmetic sequence:
18, ____ , ____ , ____ , ____ , -7 ...

13, 8, 3, -2

500

Find the missing terms in the following geometric sequence:
3 , ____ , ____ , ____ , ____ , ____ ,  192...

6, 12, 24, 48, 96

Writing Equations (Geometric)

100

Write an equation for the nth term (explicit) of the geometric sequences.

3, 15, 75, 375, 1875, ... 

f(n) = 3*5^n-1

200

Write an equation for the nth term (explicit) of the geometric sequences. 

324, 108, 36, 12, 4, ...

f(n) = 324 * (1/3)^n-1

300

Write an equation for the nth term (explicit) of the geometric sequences. 

1, -2, 4, -8, 16, ....

f(n)=1 * (-2)^n-1

400

Write an equation for the nth term (explicit) of the geometric sequences. Then find the 8th term

3, 6, 12, 24, ...

f(n)= 3*(2)^n-1

f(8)= 384

500

Write a recursive and explicit equation for the geometric sequences. 

128, 64, 32, 16, 8, ...

f(n)=(1/2)*f(n-1) ; f(1)=128

f(n)= 128*(1/2)^n-1

Writing Equations (Arithmetic)

100

Write an equation for the nth term (explicit) of the arithmetic sequences. 

1, 4, 7, 10, 13, ...

f(n) = 3n -2

200

Write an equation for the nth term (explicit) of the arithmetic sequences. 

3, 8, 13, 18, 23, ...

f(n) = 5n - 2

300

Write an equation for the nth term (explicit) of the arithmetic sequences. 

-8, -2, 4, 10, 16, ...

f(n) = 6n - 14

400

Write an equation for the nth term (explicit) of the arithmetic sequences. Then find the 7th term.

-6, 1, 8, 15, 22, ...

f(n) = 7n - 13

f(7) = 36

500

Write a recursive and explicit equation to represent the arithmetic sequence.

11, 4, -3, -10, -17, -24, ...

f(n) = f(n-1) - 7 ; f(1) = 11

f(n) = -7n + 18