Arithmetic Recursive and Explicit Formulas

Given the sequence 4, 11, 18, 25...... what is a₃ ?

• 4

• 11

• 18

• 25

Find a₄.

9, 6, 3, 0, -3, ...

• 9

• 6

• 0

• -4

Find a₇.

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

• 25

• 35

• 40

• 45

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6

• a_n=a_n-1-4
  a₁=6

• a_n=a_n-1+9
  a₁=6

• a_n=a_n-1+6
  a₁=6

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)

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:

4n - 32

• 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

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

• a_n = 29+4n

• a_n = 25-4n

• a_n = 29-4n

• a_n = 25+4n

Identify the common difference for the given arithmetic sequence.

• d = -7

• d = -8

• d = 7

• d = 3