# Worksheet: Introduction to Sequences

Q1:

Is the sequence finite or infinite?

• Afinite
• Binfinite

Q2:

Is the sequence finite or infinite?

• Ainfinite
• Bfinite

Q3:

Is the sequence finite or infinite?

• Afinite
• Binfinite

Q4:

Is the sequence finite or infinite?

• Afinite
• Binfinite

Q5:

Is the sequence with general term , where , finite or infinite?

• Ainfinite
• Bfinite

Q6:

Is the sequence with general term , where , finite or infinite?

• Ainfinite
• Bfinite

Q7:

Is the sequence with general term , where , finite or infinite?

• Ainfinite
• Bfinite

Q8:

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

• A
• B
• C
• D
• E

Q9:

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

• A
• B
• C
• D
• E

Q10:

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

• A
• B
• C
• D
• E

Q11:

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

• A
• B
• C
• D
• E

Q12:

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

Q13:

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

Q14:

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

Q15:

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

Q16:

Is each function whose domain is a sequence?

• Ano
• Byes

Q17:

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.