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Sequences

Sequences

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

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