# Lesson Worksheet: Representing Sequences Mathematics

In this worksheet, we will practice representing a sequence as a function of a positive integer variable called an index (n).

Q1:

Mrs. Jones has \$3,250 in her bank account. If she plans to deposit \$100 per month, write the first 6 terms of a sequence that would represent her monthly account balances starting with her current balance as the first term.

• A
• B
• C
• D
• E

Q2:

Which of the following expressions can be used to find the term of the given sequence, where represents the position of a term in the sequence?

 Position Value of Term 1 2 3 4 5 5 8 11 14 17
• A
• B
• C
• D
• E

Q3:

Find the first 3 terms of the sequence whose general term .

• A0, , and
• B, , and
• C0, , and
• D, , and
• E0, , and

Q4:

Find the fourth term in the sequence .

• A
• B
• C
• D
• E

Q5:

Which of the following expressions can be used to find the term of the sequence ?

• A
• B
• C
• D
• E

Q6:

Consider the sequence .

What is the general term of this sequence?

• A
• B
• C
• D
• E

Q7:

In any sequence pattern, if the difference between any two successive terms is a fixed number, , then this is an arithmetic sequence.

Consider the sequence , and then answer the following questions.

Is the sequence arithmetic?

• ANo
• BYes

What is the value of ?

What is the general term of this sequence with ?

• A
• B
• C
• D
• E

Q8:

In a geometric sequence, the ratio between any two successive terms is a fixed ratio .

Consider the sequence .

Is this sequence geometric?

• ANo
• BYes

Consider the sequence .

What is the value of ?

• A4
• B
• C
• D
• E2

Consider the sequence .

What is the general term of this sequence?

• A,
• B,
• C,
• D,
• E,

Q9:

Consider the sequence .

Which of the following is the general term of this sequence such that ?

• A
• B
• C
• D
• E

Q10:

Consider the sequence .

Which of the following is the general term of this sequence such that ?

• A
• B
• C
• D
• E

This lesson includes 15 additional questions and 225 additional question variations for subscribers.