Geometric Sequence Zero Term

Is the sequence geometric or arithmetic?

3, 6, 11, 12...

• Arithmetic

• Geometric

• Neither

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

What is the common ratio for the sequence:

28, 14, 7, 3.5...

• 2

• $\frac{1}{2}$

• -14

• $\frac{1}{4}$

What is the multiplier for 4096,1024, 256...?

(ex: what number are you multiplying to get to the next number?)

• $0.25$ or $\frac{1}{4}$

• $0.5$ or $\frac{1}{2}$

• 4

• 2

What is the equation for this sequence: 1024, 256, 64...

• t(n) = 1024(0.5)ⁿ

• t(n) = 4096(0.5)ⁿ

• t(n) = 4096(0.25)ⁿ

• t(n) = 1024(0.25)ⁿ

What is the next number in the sequence 4096,1024,256...

• 64

• 256

• 128

• 1024

Find f(12) in the sequence -1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098

Find the first four terms of the sequence given the rule:

 $f\left(n\right)=\frac{4}{5}(5)^n$  

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

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

Tags

CCSS.8.EE.A.1

CCSS.8.F.A.1

Given the following explicit rule, what will be the 9th term in the sequence?

 $a_n=3\left(2\right)^n$  

• 6

• 54

• 1218

• 1536