Explicit and Recursive Functions

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

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)

Write a recursive formula for the following sequence: 16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

• (1)

• (2)

• (3)

• (4)

Define a recursive function for the arithmetic sequence 4, 9, 14, 19, ...

*Match each recursive function with the equivalent explicit function.

• f(n)=-2n+12

• f(n)=-3n+10

• f(n)=3n+4

Write a Next/Now rule for the table.

• Next=Now + 4 Starting at 2

• Next=Now + 4 Starting at 0

• Next=Now × 3 Starting at 2

• Next=Now × 3 Starting at 0

Create a NEXT/NOW statement for the following sequence: 
4, 12, 36, ....

• NEXT = NOW + 3, Starting at 4

• NEXT = NOW + 8, Starting at 4

• NEXT = 3*NOW, Starting at 4

• NEXT = 3*NOW, Starting at 0

Write a Next/Now rule for the table.

• Next=Now + 6 Starting at 2

• Next=Now + 6 Starting at 0

• Next=Now × 4 Starting at 2

• Next=Now × 4 Starting at 0

Write a Next/Now rule for the table

• Next=Now - 16 Starting at 32

• Next=Now - 16 Starting at 0

• Next=Now ÷ 4 Starting at 0

• Next=Now × ½ Starting at 32