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

a3 =

• 14

• 2

• 3

• 8

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

Which sequence is represented by the equation a_n = 2(7)^n-1 ?

• 7, 14, 28, 56...

• 2, 14, 98, 686...

• 2, 9, 16, 23...

• 7,9,11,13...

Given the sequence:

25, 21, 17, 13,...

Write the explicit equation that models the sequence.

• a_n = 29-4(n-1)

• a_n = 4+25(n-1)

• a_n = 25-4(n-1)

• a_n = 4n + 25

Given the following sequence and a_n = 7, what is a_n+1?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

• 2

• 4

• 6

• 8