Geometric Function

Select the exponential function that matches this geometric sequence.

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.

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

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Find the general rule for: 64, -32, 16, -8, …  

• 64(1/2)^n-1

• (-32)^n-1

• 64(-1/2)^n-1

• (32)^n-1

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3

• a_n = 5(3)^n-1

• a_n = 3(5)^n-1

• a_n = 5 + (n-1)3

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4

• 3

• 2

• 6

What is the equation of the horizontal asymptote?

• y = - 3

• y = 3

• y = 4

• y = - 4