Geometric Sequences Compound Problems

Given the sequence:
125, 25, 5, ....
Write the explicit rule:

•  t(n) = (125)(5)⁽ⁿ⁾

•  t(n) = 625(1/5)⁽ⁿ⁾

•  t(n) = 625(5)⁽ⁿ⁾

•  t(n) = 125 + 5n

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

Find the 11^th term for:  64, -32, 16, -8, …  

• -.0625

• .0625

• -.03125

• .03125

Which sequence is represented by the equation 2(7)^n-1 ?

• 7, 14, 28, 56...

• 2, 14, 98, 686...

• 2, 9, 16, 23...

• 7,9,11,13...

The next term of the geometric sequence

4, 16, 64, ...

is

• 256

• 132

• 120

• 150

What is the fifth term of the geometric sequence?

5, 15, 45,...

• 135

• 1875

• 1215

• 405

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

What is the zeroth term?

• 5

• 625

• 250

• 125

Write the explicit equation for the geometric sequence: 15, 45, 135, . . . ?