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# Sequences

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# Arithmetic Sequences Exercises

### Example 1

Determine whether the sequence is arithmetic or not.

1, 2, 3, 4, 5,...

### Example 2

Determine whether the sequence is arithmetic or not.

10, 13, 16, 20,...

### Example 3

Determine whether the sequence is arithmetic or not.

1, 3, 5, 7, 9,...

### Example 4

Determine whether the sequence is arithmetic or not.

15, 21, 26, 30,...

### Example 5

Determine whether the sequence is arithmetic or not.

0, 10, 20, 30,...

### Example 6

Determine whether the sequence is arithmetic or not.

1, -1, 1, -1,...

### Example 7

Determine whether the sequence is arithmetic or not.

5, -10, 15, -20,...

### Example 8

Determine whether the sequence is arithmetic or not.

0, -2, -4, -6,...

### Example 9

Write the first four terms of the arithmetic sequence with

*a*_{1} = 10 and *d* = 7

### Example 10

Write the first four terms of the arithmetic sequence with

*a*_{1} = 5 and *d* = -2

### Example 11

Write the first four terms of the arithmetic sequence with

*a*_{1} = -1 and *d* = -3

### Example 12

How many steps does it take to get from

*a*_{1} to *a*_{6}?

### Example 13

How many steps does it take to get from

*a*_{1} to *a*_{75}?

### Example 14

How many steps does it take to get from

*a*_{1} to *a _{n}*?

### Example 15

Find the requested term for the arithmetic sequence.

Find *a*_{8} if *a*_{1} = 20 and *d* = 3.

### Example 16

Find the requested term for the arithmetic sequence.

Find *a*_{11} if *a*_{1} = 1 and *d* = -1.

### Example 17

Find the requested term for the arithmetic sequence.

Find *a*_{20} if *a*_{1} = 5 and *d* = 2.

### Example 18

Find the requested term for the arithmetic sequence.

Find *a*_{10} if *a*_{1} = -3 and *d* = -5.

### Example 19

Find the requested term for the arithmetic sequence.

Find *a*_{100} if *a*_{1} = 7 and *d* = 5.

### Example 20

Find *a*_{1} and *d* for the arithmetic sequence with the given terms.

*a*_{100} = 204, *a*_{101} = 206

### Example 21

Find a_{1} and *d* for the arithmetic sequence with the given terms.

*a*_{11} = 22, *a*_{12} = 33

### Example 22

Find *a*_{1} and *d* for the arithmetic sequence with the given terms.

*a*_{20} = -2, *a*_{21} = -7.

### Example 23

How many steps does it take to get from *a*_{10} to *a*_{15}?

### Example 24

How many steps does it take to get from *a*_{100} to *a*_{200}?

### Example 25

How many steps does it take to get from *a _{m}* to

*a*(assume

_{n}*m*<

*n*)?

### Example 26

Find *a*_{1} and *d* for the arithmetic sequence with the given terms.

*a*_{20} = 13, and *a*_{25} = 33