Arithmetic Sequence 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

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

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

• 95
• -5
• 5
• -95

Identify the common difference.

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

• 4

• 3

• -4

• -3

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)

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

Write a sequence to represent the number of smiley faces in each group. Select all that apply.

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

• a₁=82; a_n = a_n-1-6
• a₁=64; a_n = a_n-1-6
• a₁=82; a_n = a_n-1+6
• a₁=64; a_n = a_n-1+6

Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...

• a₁=-49; a_n = a_n-1 + 10
• a₁=-7; a_n = a_n-1 + 14
• a₁=-49; a_n = a_n-1 + 14
• a₁= -49; a_n = a_n-1 -14

Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...

• a_n = 10n + 17
• a_n = 7n - 17
• a_n = -7n + 17
• a_n = 7n + 3