Geometric Sequences

What does r represent?

• Radical

• Common difference

• Common ratio

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

What is the 14th term of the geometric sequence?

• 14,348,907
• 4,782,969
• 1,594,323
• 45

Tags

CCSS.HSF.BF.A.2

Write the formula for the geometric sequence shown.

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

• a_n = 5(2)ⁿ

• a_n = 2(5)ⁿ

Find the common ratio for the geometric sequence.

• -4
• 4
• 1/4
• -1/4

Tags

CCSS.HSF.BF.A.2

Write the formula for the geometric sequence shown.

•   $a_n=\frac{1}{2}\left(100\right)^n$   

•  $a_n=100\left(\frac{1}{2}\right)^{ }$  

•   $a_n=200\left(\frac{1}{2}\right)^n$  

•  $a_n=\frac{1}{2}\left(200\right)^n$  

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

Find the next three terms: -4, -12, -36, -108, ...

• 36, -108, 324
• -324, -972, -2916
• 324, -972, 2916
• -108, 324, -972

Tags

CCSS.HSF.BF.A.2

Which formula is used to find the equation for geometric sequences?

•  $a_n=d\cdot a_0$  

•  $a_n=a_0\cdot r$  

•  $a_n=a_0\left(r\right)^n$  

•  $a_n=d+a_0$