# Worksheet: Introduction to Sequences

In this worksheet, we will practice representing arithmetic and geometric sequences as discrete functions and differentiating between finite and infinite sequences.

**Q1: **

Find the range of the infinite arithmetic sequence represented in the figure below.

- A
- B
- C
- D
- E

**Q4: **

Is each function whose domain is a sequence?

- Ano
- Byes

**Q5: **

If we consider a sequence to be a function, what is the function’s domain?

- A
- B
- C
- D
- E

**Q6: **

Consider the sequence given by .

List the numbers at positions 2, 3, and 4.

- A1, 1, 0
- B1, 0, 1
- C0, 0, 1
- D0, 1, 0
- E0, 1, 1

What is the number at position 12 341?

What is the range of this sequence?

- A
- B
- C
- D

**Q7: **

List the first 10 elements of the sequence where the th term is defined as the remainder when is divided by 4.

- A
- B
- C
- D
- E

What is the range of this sequence?

- A
- B
- C
- D
- E

**Q8: **

Consider the infinite sequence . We can think of this sequence as a function whose graph is partially sketched.

Describe the domain of the function.

- A
- BAll integers
- C
- DAll natural numbers:
- E

Describe the range of the function.

- AAll numbers satisfying for integers
- BAll numbers satisfying for integers
- CAll numbers satisfying for integers
- DAll numbers satisfying for reals
- EAll numbers satisfying for integers

**Q9: **

The graph of the first six terms of an arithmetic sequence is shown.

Write, in the form , an equation for the sequence.

- A
- B
- C
- D
- E

Find the 27th term of the sequence.

**Q10: **

Consider the sequence .

Write the sequence of the first 5 odd terms: .

- A
- B1, 3, 5, 7, 9
- C2, 4, 6, 8, 10
- D
- E

Write a piecewise function that describes .

- A
- B
- C
- D
- E

**Q16: **

Find the range of the infinite arithmetic sequence represented in the figure below.

- A
- B
- C
- D
- E

**Q17: **

Find the range of the infinite arithmetic sequence represented in the figure below.

- A
- B
- C
- D
- E