Algebra Unit 1 Review

Name the Common Ratio/Difference

100

Find the common ratio/difference.

3, 6, 9, 12, ....

Common Difference = 3

200

Find the common difference/ratio.

24, 36, 48, ...

Common Difference = 12

300

Find the common difference/ratio.

9, 18, 36, ...

Common Ratio = 2

400

Find the common ratio/difference.

4, 16, 64, ...

Common Ratio = 4

500

Find the common difference/ratio.

2, 12, 72, ...

Common Ratio = 6

Next 3 Terms

100

Find the next 3 terms in the sequence

3, 6, 9, 12, ....

15, 18, 21

200

Find the next 3 terms in the sequence

24, 36, 48, ...

60, 72, 84

300

Find the next 3 terms in the sequence

9, 18, 36, ...

72, 144, 288

400

Find the next 3 terms in the sequence

4, 16, 64, ...

256, 1024, 4096

500

Find the next 3 terms in the sequence.

2, 12, 72, ...

432, 2592, 15552

Missing Middle Terms

100

Find the missing middle terms in the arithmetic sequence.

40, ___, ___, ___, 52

40, 43, 46, 49, 52

200

Find the missing middle terms in the geometric sequence. 

1, ___, ___, ___, 625

1, 5, 25, 125, 625

300

Find the missing middle terms in the geometric sequence.

4, ___, ___, ___, ___, 972

4, 12, 36, 108, 324, 972

400

Find the missing middle terms in the arithmetic sequence.

9, ___, ___, 24

9, 14, 19, 24

500

Find the missing middle terms in the arithmetic sequence.

35, ___, ___, 26

35, 32, 29, 26

Write the Equations

100

Write the recursive and explicit equations for the following sequence.

3, 6, 9, 12, ....

f(n) = f(n-1)+3, f(1) = 3

f(n) = 3+3(n-1)

200

Write the recursive and explicit equations for the following sequence.

24, 36, 48, ...

f(n) = f(n-1)+12, f(1)=24

f(n) = 24+12(n-1)

300

Write the recursive and explicit equations for the following sequence.

9, 18, 36, ...

f(n) = f(n-1)x2, f(1) = 9

f(n) = 9(2)^(n-1)

400

Write the recursive and explicit equations for the following sequence.

4, 16, 64, ...

f(n) = f(n-1)x4, f(1) = 4

f(n) = 4(4)^(n-1)

500

Write the recursive and explicit equations for the following sequence.

2, 12, 72, ...

f(n) = f(n-1)x6, f(1) = 2

f(n) = 2(6)^(n-1)

Find the nth step

100

Use the explicit equation to find the 10th step in the sequence: 

f(n) = 100 +2(n-1)

118

200

Use the explicit equation to find the 20th term in the sequence. 

f(n) = 3+5(n-1)

98

300

Use the explicit equation to find the 12th term in the sequence.

f(n) = 2(3)^(n-1)

1,062,882

400

Use the explicit equation to find the 15th step in the sequence: 

f(n) = 100 - 65(n-1)

-810

500

Use the explicit equation to find the 5th term in the sequence.

f(n)=8(0.2)^(n-1)

0.0128