Explicit Arithmetic and Geometric Equations

Identify the generator in the following sequence: 
20, 40, 80, ...

• +20

• x2

• 10

Write an explicit equation for the following sequence:
9, 5, 1, ...

• t(n) = 13 - 4n 

• t(n) = 9 - 4n

• t(n) = -4 + 13n

Find the 40th term in the following sequence:
11, 18, 25, ...
Hint:  Write an explicit equation first.

• 284

• 291

• 280

Given the following sequence, is t(n) = -134 a possible term in the sequence?
-2, -7, -12, ...
Hint:  Use an explicit equation to help you.

• Yes

• No

Write the equation that represents the given table.

• y = 2x + 3

• y = -3x + 2

• y = 3x + 2

Write the explicit equation that represents the following sequence:
18, 54, 162, ...

• t(n) = 6(3)ⁿ

• t(n) = 18(3)ⁿ

• t(n) = 6 + 3n

• t(n) = 18 + 3n

Does the following represent a sequence that is arithmetic, geometric, or neither?

• Arithmetic

• Geometric

• Neither

Does the following represent a sequence that is arithmetic, geometric, or neither?
t(n) = 2(7)ⁿ

• Arithmetic

• Geometric

• Neither

Identify the generator for the following sequence:
17, 14, 11, ...

• +3

• +20

• -3

• +17

f\left(n\right)=f_1+\left(n-1\right)d

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence