Arithmetic Sequences and Formulas

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

Tags

CCSS.HSF.BF.A.2

Given the recursive formula below, find the first five terms.  
u₁ = 3
u_n = u_n-1 + 2
where n ≥ 2

• 3, 5, 7, 9, 11

• 5, 7, 9, 11, 13

Tags

CCSS.HSF.BF.A.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

Tags

CCSS.HSF.BF.A.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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

• 4

• 11

• 18

• 25

Tags

CCSS.HSF.BF.A.2

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)

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

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

• 95

• -5

• 5

• -95

Tags

CCSS.HSF.BF.A.2