Arithmetic and Geometric Sequences Recursive and Explicit Formulas

Complete the table by looking for the pattern.

• 40, 30, 20, 10, 0

• 42, 35, 28, 21, 14

• 44, 37, 30, 23, 16

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Classify each function with its description. \(f\left(x\right)\ =\ f\left(x-1\right)\cdot6,\ f\left(1\right)\ =2\)

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Classify each function with its description. f\left(x\right)=\frac{2}{3}\left(2^x\right)

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Classify each function with its description. f\left(x\right)=f\left(x-1\right)\cdot4,\ f\left(0\right)=3

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Is this an arithmetic or geometric sequence?

3, 7, 11, 15, ...

• Arithmetic

• Geometric

• Neither

Is this an arithmetic or geometric sequence?

• Arithmetic

• Geometric

• Neither

Is this an arithmetic sequence? If so, what is the common difference?

• yes, d = -6

• yes, r = 6

• yes, d = 6

• no

Is this a geometric sequence? If so, what is the common ratio?

• yes, r = -0.5

• yes, r = 0.5

• yes, r = 2

• no

What is the explicit formula for the nth term of the given sequence?

• A(n) = 9 + 7(n - 1)

• A(n) = 7 + 9(n - 1)