# Understanding Arithmetic and Geometric Sequences (Grade 9)

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## Understanding Arithmetic and Geometric Sequences

1.

A is an ordered list of numbers or objects, called .

2.

The of consecutive terms remains constant in a geometric sequence.

3.

A sequence is considered when the difference between terms is constant.

- geometric
- smooth
- arithmetic
- converging
- none of these are correct

4.

Classify the following sequence as arithmetic or geometric. If arithmetic, find the common difference; if geometric, find the common ratio. [math]64, -16, 4, -1, ...[/math]

5.

Is the following sequence arithmetic or geometric? What is the next term?

3, 7, 11, 15, 19, ...

3, 7, 11, 15, 19, ...

6.

Classify the following sequence. [math]1, 1/2, 1/3, 1/4, .... [/math]

- Arithmetic
- Geometric
- Neither

7.

What type of sequence is this: 2, -4, 8, -16,...?

- Arithmetic
- Geometric
- Neither

8.

Is the following sequence arithmetic? If so, find d.

100, 75, 50, 25, ...

100, 75, 50, 25, ...

- no
- yes; d = -25
- yes; d = 25
- both b and c
- none of these are correct

9.

The general term of a sequence is [math]T_n=12-5n[/math]. Find the sum of the 2nd and 5th term.

- 23
- -13
- 8
- -11

10.

Predict the 9th term in the sequence. A, D, G, J...

- Z
- Y
- X
- W

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