Geometric Sequences

Is the following sequence geometric?

 $2,\ 4,\ 12,\ 48$  

• Yes

• No

Match each geometric sequence with its common ratio:

• 100, 50, 25, 12.5

• 10

• 10, 100, 1000, 10000

• 2

• 1, 4, 16, 64

• 4

• 5, 10, 20, 40

• 1/2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

What are the next three terms in the sequence?

48, 44, 40, 36, 32, . . .

​ (a)   ​ , ​ (b)   ,​ (c)  

• 28
• 24
• 20
• 30
• 26
• 22

 $3,\ 24,\ 192,\ 1536$  

Write the explicit formula for the following geometric sequence

•  $a_n=8\cdot3^{n-1}$  

•  $a_n=3\cdot8^{n-1}$  

•  $a_n=3+8\left(n-1\right)$  

Match each sequence with its corresponding formula:

• 5, 10, 20, 40, 80, . . .

• 7, 9, 13, 21, 37, . . .

• 2, 10, 50, 250, 1250, . . .

• 7, 12, 32, 132, 652, . . .

Find the 8th term of a geometric sequence for which a1=2 and r = 7?

• 823,543

• 11,529,602

• 1,647,086

• 5,764,801

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

• 384

• 768

• 1,536

• 27

Create the formula for the geometric sequence:
1, -2, 4, -8...
then find the 11th term.

• a₁₁ = 2048
• a₁₁ = 1025
• a₁₁ = 1024
• a₁₁ = 2049

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Create the formula for the geometric sequence:
-3, -6, -12, -24...
then find the 12th term.

• a₁₂ = -6144
• a₁₂ = 6144
• a₁₂ = -6234
• a₁₂ = 6234

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2