Arithmetic Sequences and Geometric Sequences

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Question 1

Shown below are the first three stages in a floor tile pattern. Identify the type of sequence and corresponding common difference or common ratio for this pattern.

A pattern of tiles is shown. The first image in the pattern shows four tiles arranged in a two by two square, the second image shows eight tiles arranged in a three by three square, and the last image shows twelve tiles arranged in a four by four square.

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Question 2

Identify the next term in this pattern.

A pattern of tiles is shown. The first image in the pattern shows four tiles arranged in a two by two square, the second image shows eight tiles arranged in a three by three square, and the last image shows twelve tiles arranged in a four by four square.

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Question 3

Identify the type of sequence and corresponding common difference or common ratio for this pattern.

A pattern of tiles is shown. The first image in the pattern shows one diamond. The second image in the pattern shows four diamonds arranged in a two by two square. The third image in the pattern shows sixteen diamonds arranged in a four by four square.

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Question 4

Identify the next term in this pattern.

A pattern of tiles is shown. The first image in the pattern shows one diamond. The second image in the pattern shows four diamonds arranged in a two by two square. The third image in the pattern shows sixteen diamonds arranged in a four by four square.

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Question 5

Identify the type of sequence and corresponding common difference or common ratio for this pattern.

0.5, -negative2, 8, -negative32

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Question 6

Identify the next term in this pattern.

0.5, -negative2, 8, -negative32

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Question 7

Identify the type of sequence and corresponding common difference or common ratio for this pattern.

0.5, 2.0, 3.5, 5.0

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Question 8

Identify the next term in this pattern.

0.5, 2.0, 3.5, 5.0

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Question 9

Which of the following statements is an accurate description of how arithmetic sequences and geometric sequences grow under the same variables?