Arithmetic and Geometric Sequences

Match representation (d) with its different representation of the same sequence below.

• 
• 
• 
• 

If Dino is right, what are the next three terms of the sequence and the rule?

• Multiplying by 3 for each n; 18, 54, 162

• Multiplying by 4 for each n; 24, 96, 384

• Adding by 3 for each n; 9,12,15

• Adding by 4 for each n; 10,14,18

If Jessica is right, what are the next three terms of the sequence and the rule?

• Multiplying by 3 for each n; 18, 54, 162

• Multiplying by 4 for each n; 24, 96, 384

• Adding by 3 for each n; 9,12,15

• Adding by 4 for each n; 10,14,18

Jessica found in her notes the number 266 is an output of the sequence. Is the sequence arithmetic or geometric? How do you know?

• Arithmetic; n=65 gives the output 266

• Geometric; n=5 gives the output 266

• Arithmetic; n=67 gives the output 266

• Geometric; n=5.5 gives the output 266

• Arithmetic

• Geometric

Answer explanation

Percentages are almost always Geometric.

The graph of a geometric sequence is ​ (a)   .

• exponential

• Linear

• quadratic

Is the sequence geometric or arithmetic?
6, 18, 54...

• Arithmetic

• Geometric

• Neither

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

What is the 15th term of the sequence an = -3n+50

• 95

• -5

• 5

• -95