Arithmetic Sequences and Recursive Formulas

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• t₀=17

  t_n+1 = t_n + 16

• t₀=17

  t_n+1 = t_n - 17

• t₀=17

  t_n+1 = a_n-1 - 15

• t₀=17

  t_n+1 = t_n- 16

Write the recursive formula for the following sequence?

6, 4, 2, 0, . . .

• t_n = -2n + 8

• t₀ =6, t_n +1= t_n - 2

• t₀ = 6, t_n+1 = t_n + 2

• t₀ = 6, t_n+1 = t_n - 2

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

• t_n+1=t_n+11

  t₀=6

• t_n+1=t_n-4

  t₀=6

• t_n+1=t_n+9

  t₀=6

• t_n+1=t_n+6

  t₀=6

Given the recursive formula, find the first four terms:

t_n+1 = t_n + 5

t₀ = -16

• -16, -21, -26, -31

• 5, -11, -27, -43

• -16, -80, -500, -200

• -16, -11, -6, -1

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

• t_n+1=t_n+11

  t₀=6

• t_n+1=t_n-4

  t₀=6

• t_n+1=t_n+9

  t₀=6

• t_n+1=t_n+6

  t₀=6

Given the sequence 4, 11, 18, 25, 32...... what is t₃ ?

• 32

• 11

• 18

• 25

Find the 25th term of the sequence if t₀ = 5 and d = 0.5

• 18

• 17

• 15

• 14

Create the explicit formula for the sequence:

-4, 2, 8, 14, ...

• t_n=2+6n

• t_n=-6+6n

• t_n=6n-4

• t_n=4-6n

Find the explicit formula:

-3, -33, -63, -93, ...

• t_n = -3 - 30n

• t_n = -3 + 30n

• t_n = -30 - 3n

• t_n = -30 + 3n

Find the 4th term for the sequence defined by t₀=9; t_n+1=t_n+8

• 35

• 17

• 41

• 33