Formulas for Arithmetic Sequences

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 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

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

Simone's grandmother gives them $1000 to start a college fund. The grandmother will then add $200 each month if Simone adds $20 each month. What is a formula that would tell us the amount of money in the fund after x months? You do NOT need a_n in your formula.

Mathematical Equivalence

ON

Simone's grandmother gives them $1000 to start a college fund. The grandmother will then add $200 each month if Simone adds $20 each month. What is a formula that would tell us the amount of money in the fund after x months? You do NOT need a_n in your formula.

Mathematical Equivalence

ON

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

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)

Identify the common difference of the given arithmetic sequence.

• d = -4

• d = -5

• d = 5

• d = 7

Find a₇.

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

• 25

• 35

• 40

• 45