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.

What does a₁ represent?

• Any term

• First term

• Last term

Identify a₁

97, 86, 75, 64, ...

• 64

• 11

• -11

• 97

a1 =

• 1

• 2

• 3

• 5

a3 =

• 14

• 2

• 3

• 8

Is this graph Arithmetic or Geometric?

• Arithmetic

• Geometric

This sequence represents a(n)....

• Arithmetic Sequence

• Geometric Sequence

• Neither

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

Write the recursive rule for the given sequence