# Worksheet: Representations of Sequences

Q1:

Using the table, determine the expression that represents the value of each term as a function of its position. Then, find the value of the fifteenth term in the sequence.

 Position Value of Term 2 3 4 5 4 9 14 19
• A, 22
• B, 10
• C, 69
• D, 75
• E, 81

Q2:

Using the table, determine the expression that represents the value of each term as a function of its position. Then, find the value of the eighth term in the sequence.

 Position Value of Term 3 4 5 6 17 25 33 41
• A, 17
• B, 3
• C, 57
• D, 64
• E, 71

Q3:

Using the table, determine the expression that represents the value of each term as a function of its position. Then, find the value of the fourteenth term in the sequence.

 Position Value of Term 6 7 8 9 31 37 43 49
• A, 24
• B, 14
• C, 79
• D, 84
• E, 89

Q4:

Using the table, determine the expression that represents the value of each term as a function of its position. Then, find the value of the ninth term in the sequence.

 Position Value of Term 2 3 4 5 9 18 27 36
• A, 19
• B, 1
• C, 72
• D, 81
• E, 90

Q5:

Using the table, determine the expression that represents the value of each term as a function of its position. Then, find the value of the eighteenth term in the sequence.

 Position Value of Term 8 9 10 11 11 13 15 17
• A, 30
• B, 20
• C, 31
• D, 36
• E, 41

Q6:

Find the next four terms of the arithmetic sequence represtented by the figure below.

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• E

Q7:

Find the next four terms of the arithmetic sequence represtented by the figure below.

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• E

Q8:

Find the next four terms of the arithmetic sequence represtented by the figure below.

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• E

Q9:

Find the next four terms of the arithmetic sequence represtented by the figure below.

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• E

Q10:

Find the next four terms of the arithmetic sequence represtented by the figure below.

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• E

Q11:

Which of the following is an arithmetic sequence?

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Q12:

Which of the following is an arithmetic sequence?

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• E

Q13:

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

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Q14:

Given that and that for , find a formula for in terms of .

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Q15:

Find a recursive formula for the sequence .

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