Sequences Next Term

A sequence can be generated by using a_n = a_(n-1) +9

where a₁ = 4

and n is a whole number greater than 1.

What are the first three terms in the sequence?

• 4, 36, 324

• 4, 13, 22

• 9, 13, 17

• 4, 8, 12

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 6)

• geometric (common ratio r = 4)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

A sequence can be generated by using a_n = 5a_(n-1)

where a₁ = 3

and n is a whole number greater than 1.

Which term describes this sequence?

• arithmetic

• geometric

• neither of these

A sequence can be generated by using a_n = 5a_(n-1)

where a₁ = 3

and n is a whole number greater than 1.

What is the common ratio (r) in the sequence?

• 5

• 3

• neither of these

A sequence can be generated by using a_n = a_(n-1) +9

where a₁ = 4

and n is a whole number greater than 1.

What is the common difference (d) in the sequence?

• 9

• 4

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

The next term of the geometric sequence

4, 16, 64, ... is

• 256

• 132

• 120

• 150

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

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

• r = -4

• r = 2

• r = -2

• r = 4

Find the first four terms of the sequence given the rule:

a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19