Geometric Sequences

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

• yes
• no

Tags

CCSS.HSF.BF.A.2

In a recursive rule, what does a₁ represent?

• Any term

• First term

• Last term

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

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

• 384

• 768

• 1,536

• 27

Tags

CCSS.HSF.BF.A.2

Find a₁₂ in the following geometric sequence:

-1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for the following geometric sequence:
10, 20, 40, 80, ...

•  $a_1=10$  ;  $a_{n+1}=a_n\times2$  

•  $a_1=5$  ;  $a_{n+1}=a_n\times2$  

•  $a_1=10$  ;  $a_{n+1}=a_n+2$  

•  $a_1=5$  ;  $a_{n+1}=a_n+2$  

Write the explicit formula for the following geometric sequence:

50, 25, 12.5, ...

• f(n) = 0.5(100)ⁿ

• f(n) = 100(2)ⁿ

• f(n) = 100(1/2)ⁿ

• f(n) = (1/2)(100)ⁿ