Sequences Review

Select the explicit rule that represents the sequence.

• a(n) = 6 + 5(n - 1)

• a(n) = 4 + 6(n - 1)

• a(n) = 6 - 4(n - 1)

Select the explicit rule that represents the sequence.

• a(n) = 14(-3)(n - 1)

• a(n) = 3 + (n - 1)(14)

• a(n) = 14 + (n - 1)(-3)

• a(n) = -3 + (n - 1)(14)

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)

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

Given the recursive formula, find the explicit form
a_n = a_n-1 - 5
a₁ = 22

• a_n = 22 + (n-1)(-5)
• a_n = 22 + (n-1)(5)
• a_n = -5 + (n-1)(22)
• a_n = -16 + (n-1)(-5)

Write a recursive rule for the sequence a_n = 17 + (n-1)(-16)

• a₁ = 17
  a_n = a_n-1 + 16
• a₁ = 17
  a_n = a_n-1 - 17
• a₁ = 17
  a_n = a_n-1 - 15
• a₁ = 17
  a_n = a_n-1 - 16

Identify the common difference.

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

• d=4

• d=3

• d=-4

• d=-3

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

• 4

• 11

• 18

• 25

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

• 95
• -5
• 5
• -95