# Worksheet: Finding the Terms of a Sequence Given Its General Term

In this worksheet, we will practice finding the terms of a sequence given its general term.

Q1:

Find the first five terms of the sequence whose term is given by where .

• A
• B
• C
• D

Q2:

Which of the following are the first five term of the sequence with general term and ?

• A
• B
• C
• D

Q3:

Find the first five terms of the sequence whose general term is given by , where .

• A
• B
• C
• D

Q4:

Find the first five terms of the sequence with general term , where .

• A
• B
• C
• D

Q5:

Find the seventh term of the sequence .

Q6:

Find the first five terms of the sequence whose term is given by .

• A
• B
• C
• D

Q7:

Find the first five terms of the sequence whose term is given by , where .

• A
• B
• C
• D

Q8:

Find the first five terms of the sequence whose th term is given by , where .

• A
• B
• C
• D

Q9:

Find the eighth term of the sequence whose term is given by , where .

• A
• B
• C
• D

Q10:

Find the first five terms of the sequence whose term is given by .

• A
• B
• C
• D
• E

Q11:

Find the fourth term of the sequence with general term , where .

• A
• B
• C
• D
• E

Q12:

Find the first five terms of the sequence whose general term is given by , where .

• A
• B
• C
• D

Q13:

Find the fifth term of the sequence .

• A
• B
• C
• D

Q14:

Find the first five terms of the sequence whose term is given by .

• A
• B
• C
• D
• E

Q15:

Find the first five terms of the sequence whose term is given by where .

• A
• B
• C
• D

Q16:

Find the first five terms of the sequence , given , , and .

• A
• B
• C
• D

Q17:

Is the sequence increasing, decreasing, or neither?

• A is decreasing.
• B is increasing.
• C is neither increasing nor decreasing.

Q18:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D

Q19:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D

Q20:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D

Q21:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D

Q22:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D

Q23:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D
• E

Q24:

Find, in terms of , the general term of the sequence .

• A
• B
• C
• D

Q25:

The sequence , where , is given by

List the next 6 terms .

• A, , , , ,
• B, , , , ,
• C, , , , ,
• D, , , , ,
• E, , , , ,

By listing the elements , give a formula for , in terms of , for .

• A
• B
• C
• D
• E

Give a formula for , in terms of , for .

• A
• B
• C
• D
• E

Give a formula for , in terms of , for .

• A
• B
• C
• D
• E

Give a formula for , in terms of , for .

• A
• B
• C
• D
• E

What is ?

• A
• B
• C
• D
• E

Solve for .

• A
• B
• C
• D
• E

What is the range of the function ?

• AThe set of positive integers
• BThe set of all integers
• CThe set of negative rationals
• DThe set of postive rationals
• EThe set of negative integers