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# 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.
1. geometric
2. smooth
3. arithmetic
4. converging
5. 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. $64, -16, 4, -1, ...$

5.
Is the following sequence arithmetic or geometric? What is the next term?

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

6.
Classify the following sequence. $1, 1/2, 1/3, 1/4, ....$
1. Arithmetic
2. Geometric
3. Neither
7.
What type of sequence is this: 2, -4, 8, -16,...?
1. Arithmetic
2. Geometric
3. Neither
8.
Is the following sequence arithmetic? If so, find d.

100, 75, 50, 25, ...
1. no
2. yes; d = -25
3. yes; d = 25
4. Both b and c
5. none of these are correct
9.
The general term of a sequence is $T_n=12-5n$. Find the sum of the 2nd and 5th term.
1. 23
2. -13
3. 8
4. -11
10.
Predict the 9th term in the sequence: A, D, G, J...
1. Z
2. Y
3. X
4. W
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