Arithmetic Sequences and Recursive 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

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 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

What is the recursive formula for an arithmetic sequence?

• a(n - 1) + CD

• a(n - 1) + CR

• a₁(CR)^n-1

• CD(n - 1) + a₁

Tags

CCSS.HSF.BF.A.2

What is the recursive formula for arithmetic sequences?

• f(n) = f(n-1) + d

• f(n) = f(1) + (n+1)d

• f(n) = f(1) + nd

• f(n) = f(1)+ (n-2)d

Tags

CCSS.HSF.BF.A.2

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

• a_n = a_n-1 + 16

• a_n = a_n-1 - 17

• a_n = a_n-1 - 15

• a_n = a_n-1 - 16

Tags

CCSS.HSF.IF.A.3

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

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

• 4

• 11

• 18

• 25

Tags

CCSS.HSF.BF.A.2

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

Tags

CCSS.HSF.BF.A.2

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Tags

CCSS.HSF.BF.A.2