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

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

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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

• 315

• 330

• 345

• 360

• Arithmetic

• Geometric

Answer explanation

Percentages are almost always Geometric.

Find the missing terms for the arithmetic sequence.

___, 15 , 11 , ___, 3

Complete the sequence in your solution.

Find the 30th term of the following arithmetic sequence:

t(n)=5n-2

Which of the following is NOT an arithmetic sequence?

• 11, 14, 17, 20

• 2, 4, 8, 16

• 5, 2, -1, -4

Answer explanation

Remember!

With Arithmetic sequences, you are adding a constant term to get the next term.

With Geometric sequences, you are multiplying by a constant term to get the next term.

Identify the next three terms of the sequence below:

• -17, -21, -25

• 17, 21, 25

• 18, 22, 26

• -18, -22, -26