Intro to Sequences

Define arithmetic sequences.

• A sequence whose terms change by adding the same number each time.

• A sequence whose terms change by multiplying the same number each time.

• A sequence whose terms change by dividing the same number each time.

• A list of numbers that often (but not always) form a pattern.

Is this graph Arithmetic or Geometric?

• Arithmetic

• Geometric

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

• r = -4
• r = 2
• r = -2
• r = 4

This sequence is a(n)...

• Arithmetic Sequence with a common difference of 5

• Arithmetic Sequence with a common ratio of 5

• Geometric Sequence with a common difference of 5

• Geometric Sequence with a common ratio of 5

This sequence represents a(n)....

• Arithmetic Sequence

• Geometric Sequence

• Neither

This graph is...

• Arithmetic 

• Geometric

• Neither

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

The individual numbers in a sequences are called...

• Common difference
• Successive term
• Term
• Geometric term

For each sequence, state if it is arithmetic, geometric, or neither.

1,9,25,49,81.....

• Arithmetic

• Geometric

• Neither

The next term of the series 11,8,5,2 is...

• -1
• -2
• 1
• 2