Unit 1 Lesson 1-4 Quest Review

Fill in the blanks to complete the sequence: If the first two terms of an arithmetic sequence are 2 and 4 what would the next two numbers be? Sequence: 2, 4, ______ , ______

• 8, 16

• 6, 8

• 16, 256

• 2, 4

Answer explanation

Arithmetic sequence means a sequence where you ADD the same thing over and over. AKA linear sequence

Fill in the blanks to complete the sequence: If the first two terms of a geometric sequence are 2 and 4 what would the next two numbers be? Sequence: 2, 4, ______ , ______

• 8, 16

• 16, 64

• 6, 8

• 2, 4

Answer explanation

A geometric sequence is one where you MULTIPLY by the same thing over and over, aka an exponential sequence.

Write the explicit rule for this tile pattern.

• f(n)= 2n + 3

• f(n) = 3n + 2

• f(n) = 3n + 3

• f(n) = 2n + 2

What would be the explicit equation for the sequence?

• y=4(3^x)

• y=3x+4

• y=3(4^x)

• y=4x+3

Write the recursive rule for this tile pattern.

• next=previous + 2

• previous = next + 2

• next = 2(previous)

• y=2x+3

What would be the recursive equation for the sequence?

• next = previous + 8

• next = 3 (previous)

• next = previous + 3

• previous = 3 (next)

Given that:

f(x)=5x+2

g(x)=3(4^x)

What is the f(6) ?

• 4

• 32

• 4/5

• 58

Answer explanation

Plug in 6 for x in the f(x) equation and then simplify!

Given that:

f(x)=5x+2

g(x)=3(4^x)

What is the g(2) ?

• 24

• 12

• 48

• 144

Answer explanation

Plug in 62for x in the g(x) equation and then simplify! Remember to use PEMDAS and evaluate the exponent first and multiply second.

Which of the following are explicit equations? Choose all that apply.

A) y = 4x - 3

B) f(n) = 2n + 7

C) next = 3 (previous)

D) next = previous + 4

E) g(x) = 4(2^x)

• A

• B

• C

• D

• E

Which of the following are recursive equations? Choose all that apply.

A) y = 4x - 3

B) f(n) = 2n + 7

C) next = 3 (previous)

D) next = previous + 4

E) g(x) = 4(2^x)

• A

• B

• C

• D

• E