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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

a1 = 10 and d = 7

### Example 10

Write the first four terms of the arithmetic sequence with

a1 = 5 and d = -2

### Example 11

Write the first four terms of the arithmetic sequence with

a1 = -1 and d = -3

### Example 12

How many steps does it take to get from

a1 to a6?

### Example 13

How many steps does it take to get from

a1 to a75?

### Example 14

How many steps does it take to get from

a1 to an?

### Example 15

Find the requested term for the arithmetic sequence.

Find a8 if a1 = 20 and d = 3.

### Example 16

Find the requested term for the arithmetic sequence.

Find a11 if a1 = 1 and d = -1.

### Example 17

Find the requested term for the arithmetic sequence.

Find a20 if a1 = 5 and d = 2.

### Example 18

Find the requested term for the arithmetic sequence.

Find a10 if a1 = -3 and d = -5.

### Example 19

Find the requested term for the arithmetic sequence.

Find a100 if a1 = 7 and d = 5.

### Example 20

Find a1 and d for the arithmetic sequence with the given terms.

a100 = 204, a101 = 206

### Example 21

Find a1 and d for the arithmetic sequence with the given terms.

a11 = 22, a12 = 33

### Example 22

Find a1 and d for the arithmetic sequence with the given terms.

a20 = -2, a21 = -7.

### Example 23

How many steps does it take to get from a10 to a15?

### Example 24

How many steps does it take to get from a100 to a200?

### Example 25

How many steps does it take to get from am to an (assume m < n)?

### Example 26

Find a1 and d for the arithmetic sequence with the given terms.

a20 = 13, and a25 = 33