Explicit and Recursive Sequences Formulas

Common difference or ratio?

What are the missing values?

• Difference = 22, 34

• Difference = 24, 34

• Ratio = 22, 34

• Ratio = 24, 34

Classify each function with its description. \(f\left(x\right) = 4 \left(2^x\right)\)

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Classify each function with its description. \(f\left(x\right)\ =\ 4x\ +3\)

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Classify each function with its description.

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Write a recursive formula for the following sequence: 10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

Identify the common difference of the given arithmetic sequence.

5, 1, -3, -7, ...

• d = -4

• d = -5

• d = 5

• d = 7

Find a₇.

15, 20, 25, 30, 35, ...

• 25

• 35

• 40

• 45

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

• 95

• -5

• 5

• -95

What is the 40th term in the sequence with the given explicit formula:

• 12

• 138

• 128

• -16

Create the explicit formula for the sequence: 2, 8, 14, ... (Hint: Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=-4+6n

• a_n=4-6n