Creating and Solving Arithmetic Sequence

Match representation (d) with its different representation of the same sequence below.

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If Dino is right, what are the next three terms of the sequence and the rule?

• Multiplying by 3 for each n; 18, 54, 162

• Multiplying by 4 for each n; 24, 96, 384

• Adding by 3 for each n; 9,12,15

• Adding by 4 for each n; 10,14,18

If Jessica is right, what are the next three terms of the sequence and the rule?

• Multiplying by 3 for each n; 18, 54, 162

• Multiplying by 4 for each n; 24, 96, 384

• Adding by 3 for each n; 9,12,15

• Adding by 4 for each n; 10,14,18

Jessica found in her notes the number 266 is an output of the sequence. Is the sequence arithmetic or geometric? How do you know?

• Arithmetic; n=65 gives the output 266

• Geometric; n=5 gives the output 266

• Arithmetic; n=67 gives the output 266

• Geometric; n=5.5 gives the output 266

Match representation (f) with its different representation of the same sequence below.

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Find the nth term of the following sequence

7, 9, 11, 13, 15

Which term in the sequences below is the first to be greater than 250?

• 9, 13, 17, 21, ... ...

• 2, 10, 18, 26, ... ...

• 1, 7, 13, 19, ... ...

Find the values of a in the following arithmetic sequence

5, 9, a, 17, 21

Find the values of a in the following arithmetic sequence

1, 6, a, 16, 21

Find the nth term of the following sequence

5, 11, 17, 23, 29

• n + 6

• n - 1

• 6n - 1

• 6n + 1