Finding the Nth Term of a Geometric Sequence

What does r represent?

• Radical

• Common difference

• Common ratio

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

If a₁ = 4 and r= 6, what is the value of the 4th term of the geometric sequence?

• 144

• 864

• 124

• 764

Find the 10th term of the following geometric sequence

5, 20, 80, 320, ...

• 81,920

• 327,680

• 1,310,720

• 5,242,880

Find the n^th term of the following sequence...

8, 13, 18, 23...

• 5n+3

• 3n+5

• n+5

• n+3

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1

Write the explicit formula for the geometric sequence.

• a_n = 162(2/3)^n-1
• a_n = (2/3)(162)^n-1
• a_n = 162(3/2)^n-1
• a_n = 162 + (n-1)(-54)

What is the 11th term of the geometric sequence?

• -5120
• 97,656,250
• 19,531,250
• -19,531,250