Arithmetic Sequence Review

Sequences or Not to Sequence

100

Is the following sequence Arithmetic? 

12, 14, 16, 18, 20, .....

Yes, the difference between each pair of consecutive terms is the same.

200

Is the following sequence Arithmetic? 3, 8, 13, 18, 22, .....

No, the difference between each pair of consecutive terms is not the same.

300

Is the following sequence Arithmetic? 4, 11, 17, 24, 34, ....

No, the difference between each pair of consecutive terms is not the same.

400

Is the following sequence Arithmetic? 375, 225, 75, -75,........

Yes, the difference between each pair of consecutive terms is the same.

500

Is the following sequence Arithmetic? 506, 403, 300, 197, 94, .....

Yes, the difference between each pair of consecutive terms is the same.

Common Difference

100

Find the common difference of the following arithmetic sequence.

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

d = 5

200

Find the common difference of the following arithmetic sequence.

-7, -14, -21, -28, ...

d = -7

300

Find the common difference of the following arithmetic sequence.

175, 150, 125, 100, ...

d = -25

400

Find the common difference of the following arithmetic sequence.

6.5, 5, 3.5, 2, ...

d = -1.5

500

Find the common difference of the following arithmetic sequence.

-16, -7, 2, 11

d = 9

Find the missing term(s)

100

Find the missing term in the following Arithmetic sequence. 

3, ___ ,17, 24

10

200

Find the missing term in the following Arithmetic sequence. 

2, 16, _____ , 44

30

300

Find the missing term in the following Arithmetic sequence.

-6, -13, ___ ,-27

-20

400

Find the missing terms in the following Arithmetic sequence. 10, 14, _____ , _____, 26

18, 22

500

Find the missing terms in the following Arithmetic sequence.

 4, _____ , _____, 304

104 and 204

Find the nth term

100

Using the following arithmetic sequence, find the 16th term.

-14, -25, -36, -47, -58, ...... 

a16 = -179

200

Using the following arithmetic sequence, find a₇.

-100, -50, 0, 50,...

a₇ = 200

300

Using the following arithmetic sequence, find a₁₀.

 -16, -25, -34, -43, -52 

a₁₀ = -97

400

Using the following arithmetic sequence, find a₁₅.

 -3, -8, -13, -18, ....

a₁₅ = -73

500

Using the following arithmetic sequence, find a₅₀.

14, 11, 8, 5...

a₅₀ = -133

Explicit Formula

100

Find the explicit formula for the arithmetic sequence: 

*Hint use* : a_n = a₁ + (n - 1)d

2, 6, 10, 14, ...

a_n = 4n - 2

a_{n = 2 + (n-1)(4)}

200

Find the explicit formula for the arithmetic sequence: 

*Hint use* : a_n = a₁ + (n - 1)d

-1, 2, 5, 8, 11

a_n = 3n - 4

a_{n = -1 + (n-1)(3)}

300

Find the explicit formula for the arithmetic sequence: 

3, 9, 15, 21, ...

a_n = 6n - 3

a_{n = 3 + (n-1)(6)}

400

Find the explicit formula for the arithmetic sequence: 

-16, -25, -34, -43, -52. 

a_n = -9n - 7

a_{n = -16 + (n-1)(-9)}

500

Find the explicit formula for the arithmetic sequence: 

-100, -50, 0, 50,...

a_n = 50n - 150

a_{n = -100 + (50)(n-1)}