Recursive & Explicit Sequences

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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

A formula that requires the computation of all previous terms to find the value of a_n.

• Explicit Formula

• Recursive Formula

• Arithmetic Formula

• Geometric Formula

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

• 95
• -5
• 5
• -95

Tags

CCSS.HSF.BF.A.2

Identify the common difference.

-6, -3, 0, 3, 6....

• 4

• 3

• -4

• -3

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Which of the following equations is explicit?

• f(n) = 4n + 5
• f(n) = f(n-1) x 5

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Which of the following equations is recursive?

• f(n) = f(n-1) +4
• f(n) = 2n - 5

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What does a₁ represent?

• Any term

• First term

• Last term

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find $a_4$  for the sequence 2, 9, 16, 23, 30,...

• 16

• 23

• 4

• 30

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2