Unit 6 Review

Type of Sequence

100

1, 2, 6, 24, 120...

NONE!

200

-15, -12, -9, -6, -3, ...

Arithmetic

300

-14, -10, -2, 3, 7, ...

Neither

400

-8, -6, -3, 1, 6, ...

Quadratic

500

-3, -18, -108, -648, -3888, ...

Geometric

Recursive

100

40, 30, 20, 10, 0, ...

a_n = a_n-1 - 10

a₁ = 40

200

1, 2, 6, 24, 120, ...

a_n = n . a_n-1

a₁ = 1

300

0, 10, 20, 30, 40, ...

a_n = a_n-1 + 10

a₁ = 0

400

3, 5, 8, 12, 17, ...

a_n = a_n-1 + n

a₁ = 3

500

-0.2, 1, -5, 25, -125, ...

a_n = a_n-1 . -5

a₁ = -0.2

Next 3 #s

100

4, 14, 24, 34, 44, ...

54, 64, 74

200

1.5, -3, 6, -12, 24, ...

-48, 96, -192

300

-2, -4, -12, -48, -240, ...

-1440, -10080, -80640

400

5, 205, 405, 605, 805, ...

1005, 1205, 1405

500

2/3, 4/5, 8/7, 16/9, 32/11, ...

64/13, 128/15, 256/17

10th term

100

-29, -22, -15, -8, -1, ...

a_{10 =} 34

200

3, 12, 48, 192, 768, ...

a₁₀ = 786432

300

-17, -14, -11, -8, -5, ...

a₁₀ = 10

400

-10, -5, 0, 5, 10, ...

a₁₀ = 35

500

-14, -6, -2, 0, 1, ...

a₁₀ = 63/32

Explicit

100

31, 23, 15, 7, ...

a_n = 31 + (n-1)(-8)

200

-4, -12, -36, -108, ...

a_n = -4 . 3^n-1

300

-7, -11, -15, -19, ...

a_n = -7 + (n-1)(-4)

400

1, 3, 9, 27,...

a_n = 3^n-1

500

2, -4, 8, -16, ...

a_n = 2 . (-2)^n-1