Recursive and Explicit Patterns

Find the next three terms:
5, 8, 11, 14...

• 16, 19, 22

• 17, 19, 21

• 17, 20, 23

• 16, 18, 20 

Create a NEXT/NOW statement for the following sequence: 
2, 8, 14, .....

• NEXT = 4 * NOW

• NEXT = NOW + 6

• NEXT = NOW / 4

• NEXT = NOW - 6

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

The recursive formula is used to find the next value in a sequence of numbers.

• True

• False

The explicit formula is used to find a specific term in a sequence.

• True

• False

Write an explicit rule for the sequence 2, 8, 26, 80, 242 …

• a_n = 2n + n + 1

• a_n = 3ⁿ - 1

• a_n = 3n² - 1

• a_n = 3ⁿ + 1

Which explicit equations match the sequence? The sequences begins f(1) = 12
12, 10, 8, 6, ...

• f(n) = 12n - 2

• f(n) = 12 - 2 (n - 1)

• f(n) = -2(n -1) + 12

• f(n) = 12 - 2n

Which equation can only be used if you know the previous term

• Recursive equation

• Explicit equation

Find the 6th term

• 16

• 31

• 11

• 35

Find the pattern: -34, -29, -24, -19, ...

• -5

• +5

• -6

• +6