Recursive and Explicit Equations

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• u₁ = 15
  u_n = u_n-1 + 3
• u₀ = 15
  u_n = u_n-1 + 3
• u₁ = 15
  u_n = u_n-1 - 3 
• u₀ = 15
  u_n = u_n-1 - 3

Find the term named in the problem
14, 214, 414, 614, ... a₃₀

• 5724
• 5814
• 5784
• 5614

What is the explicit equation for this function?

• f(x) = -3x - 11
• f(x) = 3x - 11
• f(x) = -3x - 5
• f(x) = -3x - 8

What is the explicit equation for this function?

• f(x) = 2x + 1
• f(x) = 2x - 1
• f(x) = 2x
• f(x) = 2x + 2

Write the recursive formula for 4, 8, 12....

• a_n=a_n-1-7
• a_n=a_n-1-4
• a_n=a_n-1+3
• a_n=a_n-1+4

Write the recursive formula of 13, 9, 5...

• a_n=a_n-1-4
• a_n=a_n-1+3
• a_n=a_n-1-5
• a_n=a_n-1+4

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
• a_n=a_n-1-4
• a_n=a_n-1+9
• a_n=a_n-1+6

Which recursive formula best describes the sequence
2, -6, 18, - 54... 

• a_n=a_n-1* -4, a₁ = 2
• a_n=a_n-1* - 8, a₁ =2
• a_n=a_n-1* 2, a₁ = -3
• a_n=a_n-1* -3, a₁ =2

What is the recursive rule for the sequence:
-2, 12, -72, 432, ...

• a_n = -2(-6)^n-1
  
• a_n =a_n-1 + 10
• a_n = -6⋅a_n-1
  a₁ = -2
  
• a_n = a_(n-1) - 6
  a₁ = -2

Identify the common difference.

10, 20, 30, 40, ...

• 5

• 10

• 15

• 20