Unit 1 Math 1 Review

The following equation fits in what category? f(0)=10 ; f(n) = f(n-1) + 5

• Recursive Arithmetic

• Explicit Arithmetic

• Recursive Geometric

• Explicit Geometric

The following equation fits in what category? f(1)=7 ; f(n) = f(n-1) ⋅ 3

• Recursive Arithmetic

• Explicit Arithmetic

• Recursive Geometric

• Explicit Geometric

The following equation fits in what category? f(n) = 2(n-1) + 5

• Recursive Arithmetic

• Recursive Geometric

• Explicit Arithmetic

• Explicit Geometric

• Arithmetic Explicit

• Arithmetic Recursive

• Geometric Recursive

• Geometric Explicit

Here is a recursive equation. Which explicit equation matches the sequence?

f(1) = 7 f(n)=f(n-1) + 8

• f(n) = 8 ⋅ 7ⁿ

• 
  f(n) = 7 + 8(n-1)

• 
  f(n) = 8 + 7n

• f(n) = 7 ⋅ 8^(n-1)

Here is an explicit equation. Which recursive equation matches?

f(n) = 4 ⋅ 3^(n-1)

• f(0)=3

  f(n)=f(n-1) ⋅ 4

• 
  f(0)=4

  f(n)=f(n-1) + 3

• f(1) = 4

  f(n)=f(n-1) ⋅ 3

• 
  f(1)=4

  f(n)=f(n-1) + 3

Which equation matches the sequence?

2,4,8,16,32

• f(0)=2

  f(n) = f(n-1) ⋅ 2

• f(1)=2

  f(n)=f(n-1) +2

  
  

• 
  f(n)=2+2(n-1)

• f(n) = 2 ⋅ 2^(n-1)

Here is a sequence. Which equation matches?

3,7,11,15

• 
  a₁= 3

  a_n=a_n-1 +4

• 
  a₁ =1

  a₁= a_n-1 ⋅ 4

• f(n) = 3 + 4n

• f(n) = 3 ⋅ 4ⁿ

Evaluate the function for f(-5)

f(n) = 2x + 6

• 16

• -4

• -16

• 4

A bacterium quadruples each hour. In the beginning there are 5 bacteria. How many hours does it take for the bacteria to reach 320 bacterium

• 9

• 7

• 5

• 3