Sequences Review

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common multiplier r

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common multiplier r

What kind of sequence is the pattern 37, 31, 25, 19, ...?

• Arithmetic

• Geometric

• Neither

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

What kind of sequence is the pattern 2, 4, 12, 48,...?

• Arithmetic

• Geometric

• Neither

Given a₁= 5 and d= 2 find a₆

• 13
• 10
• 15
• 17

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

• yes, 2

• yes, -2

• yes, 4

• no

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

• 8
• 11
• -11
• -8

Select the explicit rule that represents the sequence.

Select the recursive rule (sequence notation) that represents the sequence.