Arithmetic and Geometric Sequences

Sequences 1

100

Is this arithmetic, geometric or neither?

-5, -10, -15, -20

This is an Arithmetic sequence 

Common difference = -5

200

Find the common difference or ratio:

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

Common ratio = -2

300

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

13

400

Write the first four terms of the sequence 

a_n = 3n-2

1,4,7, 10

Sequences 2

100

Is this arithmetic, geometric or neither?

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

This is a Geometric Sequence?

Common ratio = -3

200

Find the common difference or ratio:

18, 22, 26, 30...

Common difference = 4

300

224, _______, 56, 28, 14, 7

112

500

Write a recursive equation to represent the sequence.

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

a_n = a_n-1 - 7 ; a₁ = 11

Adding or Subtracting Matrices

100

What determines if you can add or subtract matrices?

If their dimensions match 

Writing Equations (Geometric)

100

What determines if you can multiply matrices or not.

If the inside dimensions match

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

Augmented Matrices

200

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

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

f(n) = 5n - 2