Explicit Arithmetic and Geometric Equations

Which of the following equations is explicit?

• f(n) = 4n + 5

• f(n) = f(n-1) x 5

What's the explicit equation?

• f(n) = 2 + 3(n-1)

• f(n) = n + 3

• f(n) = f(n-1) +3

• f(n) = f(n+3)

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

For each sequence, state if it is arithmetic, geometric, or neither.
−34, −26, −18, −10, −2, ... 

• Arithmetic

• Geometric

• Neither

What is the common ratio for the sequence:
28, -14, 7, -3.5...

• 1/2 (or 0.5)

• - 1/2 (or -0.5)

• -14

• -7

Does the following table represent a geometric sequence or an arithmetic? Explain 

• geometric, it has a constant rate

• geometric, it has a constant percentage

• arithmetic, it has a constant rate

• arithmetic, it has a constant percentage

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

What is the 15th term of the sequence an = -3n+50

• 95

• -5

• 5

• -95

Identify the common difference.

• 4

• 3

• -4

• -3