Geometric Sequences and Exponential Functions

Write a recursive rule and an explicit rule for each geometric sequence, and then find the next

three terms. 2, 8, 32,… Just place the next three terms separated by a comma.

Write a recursive rule and an explicit rule for each geometric sequence, and then find the next

three terms. 1024, 512, 256,… Just place the next three terms separated by a comma.

Describe the transformations of the function g (x) = 0.25 (5) x - 2 as compared to the parent function

ƒ (x) = 5 x . (Lesson 15.5)

Copy and blanks your answers to the blanks. Correct spelling:

g (x) has been _______ compressed by a factor of ______ and translated ___ units _______.

Consider the geometric sequence 6, 24, 96, 384, ….

Choose True or False for each statement.

The sixth term is 1536.

• True

• False

Consider the geometric sequence 6, 24, 96, 384, ….

Choose True or False for each statement.

The explicit rule is f (n) = 6 (4)^n-1 .

• True

• False

Consider the geometric sequence 6, 24, 96, 384, ….

Choose True or False for each statement.

The recursive rule is f (1) = 4; f (n) = f (n-1) · 6.

• True

• False

Does the given system of equations have exactly one solution? Select Yes or No for each

system.

3x-2y = 6

2x+ 2y = 14

• yes

• no

Does the given system of equations have exactly one solution? Select Yes or No for each

system.

y = -4x - 5

y = -4x + 2

• yes

• no

Does the given system of equations have exactly one solution? Select Yes or No for each

system.

5x - 3y = 15

5x + 3y = 15

• yes

• no

s the given number a term in both the sequence f (n) = f (n - 1) + 5 and the sequence

f (n) = 3 (2) n - 1 , if f (1) = 3? Select which applies

• 8

• 18

• 24

• 48