Patterns and Sequences

Sequences - number patterns

Arithmetic Sequence

• The pattern changes by addition or subtraction

• We find the common sum/difference (d)

Geometric Sequence

• The pattern changes by multiplication or division

• If it's division we do 1/#

• We find the common ratio/multiple (r)

Multiple Choice

This sequence is...

7, 23, 39, 55…

• Arithmetic

• Geometric

• Neither

Multiple Choice

The common sum is...

7, 23, 39, 55…

• d = -16

• d = 16

• r = 3.29

Multiple Choice

This sequence is...

96, 48, 24, 12…

• Arithmetic

• Geometric

• Neither

Multiple Choice

The common ratio is...

96, 48, 24, 12…

• d = -48

• r = 2

• r = $$\frac{1}{2}$$

Multiple Choice

This sequence is...

17, 12, 8, 2…

• Arithmetic

• Geometric

• Neither

Multiple Choice

This sequence is...

$$\frac{1}{3},\ 1,\ \frac{5}{3},\ \frac{7}{3},\ 3...$$  

• Arithmetic

• Geometric

• Neither

Multiple Choice

The common sum is...

$$\frac{1}{3},\ 1,\ \frac{5}{3},\ \frac{7}{3},\ 3...$$  

• $$r=3$$  

• $$d=\frac{2}{3}$$  

• $$d=\frac{1}{3}$$  
  

Multiple Choice

This sequence is...

$$\frac{1}{4},\ \frac{1}{2},\ 1,\ 2,\ 4,\ 8...$$  

• Arithmetic

• Geometric

• Neither

Multiple Choice

The common ratio is...

$$\frac{1}{4},\ \frac{1}{2},\ 1,\ 2,\ 4,\ 8...$$  

• r =  $$\frac{1}{2}$$  

• r = 2

• d = 4