Algebra 2 Unit 6 Review

Explicitly Recursive

100

Write the recursive formula for this sequence:

1, 2, 3, 4, 5, 6, ...

a_n=a_(n-1)+1

a_1=1

200

Find the explicit formula for this sequence:

-5, -10, -15, -20

a_n=-5-5(n-1)

300

Find the recursive formula for this sequence:

1, -3, 9, -27, ...

a_n=a_(n-1)*-3

a_1=1

400

Find the explicit formula for this sequence:

3, 12, 48, 192, ...

a_n=3*4^(n-1)

500

Find the recursive formula for this sequence:

5, 7, 10, 14, 19, ...

a_n=a_(n-1)+n

a_1=5

Arithmetic or Geometric

100

What kind of operations indicate an arithmetic sequence?

Addition/Subtraction

200

Write the general form for the recursive formula of a geometric sequence.

a_n=a_(n-1)*r

a_1=b

300

Identify if this pattern is Geometric, Arithmetic, or neither:

1/3, 2/5, 3/7, 4/9, 5/11,...

Neither

400

Identify the common ratio/difference of this sequence:

-21,-29,-37, -45,...

d=-8

500

Identify the common ratio/difference of this sequence:

-243/16, 81/8, -27/4, 9/2,...

r=-2/3

Starting Terms

100

Given the following formula, state the first 5 terms of the sequence:

a_n=a_(n-1)+3

a_1=0

0, 3, 6, 9, 12

200

Given the following formula, state the first 5 terms of the sequence:

a_n=a_(n-1)*6

a_1=2

2, 12, 72, 432, 2,592

300

Given the following formula, state the first 5 terms of the sequence:

a_n=9-8(n-1)

9, 1, -7, -15, -23

400

Given the following formula, find the first 5 terms of the sequence:

a_n=-4*(-4)^(n-1)

-4, 16, -64, 256, -1024

500

Given the following recursive formula, state the first 5 terms of the sequence.

a_n=na_(n-1)

a_1=1

1, 2, 6, 24, 120

The terms are missing...

100

Fill in the blanks to finish the sequence:

2, __, 6, 8, 10, ...

2

200

Fill in the blanks to finish the sequence:

3, 9, ___, 81, ...

27

300

Fill in the blanks to finish the sequence:

2, ____, ____, -13, ...

-3, -8

400

Fill in the blanks to finish the sequence:

1/2, 1, ____, ____, ____, 16 ...

2, 4, 8

500

Fill in the blanks to finish the sequence:

 ..., ___, ___, 12, ___, 3/4, ...

192, 48, 3

...found the terms

100

Given the following formula, find a₇

a_n=3+3(n-1)

a₇ = 21

200

Given the following formula, find a₄

a_n=a_(n-1)*4

a_1=-4

a₄ = -256

300

Given the following formula, find a₂₇:

a_n=a_(n-1)-5

a_1=37

-93

400

Given the following sequence, find a₂₅

-17, -15, -13, -11, ...

a_25=31

500

Given this incomplete sequence, find a₈

__, 10, ___, 250, ...

156,250