Explicit Formula, Arithmetic Sequences and Recursive Formulas

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

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

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

Identify the common difference.
3, 7, 11, 15, ...

• 6

• 5

• 4

• 2

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8

• a₁ =6, a_n = a_n - 1 - 2

• a₁ = 6, a_n = a_n-1 + 2

• a₁ = 6, a_n = a_n-1 - 2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31

• 5, -11, -27, -43

• -16, -80, -500, -200

• -16, -11, -6, -1