Arithmetic Recursive and Explicit Formulas

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

• a_n = a_n-1 + 16
  a₁=17

• a_n = a_n-1 - 17
  a₁=17

• a_n = a_n-1 - 15
  a₁=17

• a_n = a_n-1 - 16
  a₁=17

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=6n-4

• a_n=4-6n

Find the explicit formula:
-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)

• a_n = -3 + 30(n -1)

• a_n = -30 - 3(n -1)

• a_n = -30 + 3(n -1)

Find the explicit formula:
-23, -16, -9, -2, ...

• a_n = -23 + 7(n -1)

• a_n = -23 - 7(n -1)

• a_n = 7 - 23(n -1)

• a_n = 7 + 23(n -1)

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes

• No

Specifies the step by which each term of the sequence is generated from the preceding term or terms.

• Sequence

• Recursive Formula

• Explicit Formula for an Arithmetic Sequence

• Explicit Formula for a Geometric Sequence

Find the next three terms:
5, 8, 11, 14...

• 16, 19, 22

• 17, 19, 21

• 17, 20, 23

• 16, 18, 20 

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• u₁ = 15
  u_n = u_n-1 + 3

• u₀ = 15
  u_n = u_n-1 + 3

• u₁ = 15
  u_n = u_n-1 - 3 

• u₀ = 15
  u_n = u_n-1 - 3

Given the recursive formula below, find the explicit formula.
a₀ = 1
a_n = a_n-1 + 5

• a_n = 6 + 5n

• a_n = 1 + 5n

Given the sequence below, write the explicit formula.
3, 8, 13, 18 ... 

• u_n = 3 + 5n

• u_n = -2 + 5n