Arithmetic and Geometric Sequences

Write the formula to find the nth term:
1, 2, 4, 8,...

• $a\left(n\right)=2\left(2\right)^{n-1}$

• $a\left(n\right)=1\left(2\right)^{n-1}$

• $a\left(n\right)=1\left(\frac{1}{2}\right)^{n-1}$

• $a\left(n\right)=1\left(2\right)^n$

Write the formula to find the nth term:
24, 12, 6, 3,...

•  $a\left(n\right)=24\left(2\right)^{n-1}$ 

•  $a\left(n\right)=12\left(2\right)^{n-1}$ 

•  $a\left(n\right)=24\left(\frac{1}{2}\right)^{n-1}$ 

•  $a\left(n\right)=3\left(2\right)^n$ 

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Write the formula to find the nth term:
1000, 100, 10, 1,...

•  $a\left(n\right)=1000\left(\frac{1}{10}\right)^{n-1}$ 

•  $a\left(n\right)=1000\left(10\right)^{n-1}$ 

•  $a\left(n\right)=100\left(10\right)^{n-1}$ 

•  $a\left(n\right)=100\left(\frac{1}{10}\right)^{n-1}$ 

What are the next three terms of the sequence:

2, 4, 8

• 10, 12, 14

• 16, 32, 64

• 4, 2, 1

• 8, 16, 32

What are the next three terms of the sequence:

9, 10, 11,...

• 13, 15, 17

• 8, 7, 6

• 12, 13, 14

• 11, 12, 13

What is the next term in the sequence?

12, 6, 3,...

• 1.5

• .5

• .75

• 2

Write the formula to find the nth term:
1, 5, 25, 125,...

•  $a\left(n\right)=5\left(1\right)^{n-1}$ 

•  $a\left(n\right)=5\left(5\right)^{n-1}$ 

•  $a\left(n\right)=1\left(5\right)^n$ 

•  $a\left(n\right)=1\left(5\right)^{n-1}$ 

What is the common ratio of the Geometric sequence?
1, 3, 9,...

• 3

• 4

• $\frac{1}{3}$

• $\frac{3}{2}$

What is the common difference of the Arithmetic Sequence?

25, 20, 15,...

• 5

• 10

• $\frac{1}{5}$

• -5

Is this sequence exponential or linear?

1, 10, 100, 1000,...

• Linear

• Exponential