Explicit and Recursive Formulas for Arithmetic Sequences

Given the sequence 11, 15, 19, 23..., which recursive formula describes it?

Given the sequence -5, -15, -25, -35..., which recursive formula describes it?

Write the explicit formula for the sequence.

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

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

Find the missing terms of the arithmetic and geometric sequences in the table. Use the formulas.

• 8, 14, 20

• 10, 16, 22

• 12, 18, 24

Find the missing terms of the arithmetic and geometric sequences in the table. Use the formulas.

• 22, 32, 52

• 20, 30, 50

• 18, 24, 36

Find the missing terms of the arithmetic and geometric sequences in the table. Use the formulas.

• 12, 48, 768

• -12, 48, 768

• 34, 48, 192

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

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)