Sequences Formulas

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

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

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

• 95

• -5

• 5

• -95

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

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 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 of the given arithmetic sequence.

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

• d = -4

• d = -5

• d = 5

• d = 7

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

• 4

• 11

• 18

• 25