Common Ratio
Common Difference
Arithmetic Definitions
Geometric Definitions
Atkinson or Blair
100

9,54,324,1944, ...

r=6

100

96,156,216,276, ...

d=60

100

8,17,26,35, ...

Explicit:?

Find a(12)

Explicit:  A(n)=9n-1

a(12)=109

100

4,32,256,2048, ...

ratio=?

Recursive:?


r=8

Recursive: a(1)=4

                a(n)=8*a(n-1) for n greater or equal to 2

100

What is Ms. A's first plant's name?

Sheryl

200

17,34,68,136, ...

r=2

200

10,36,62,88, ...

d=26

200

a(8)=11, difference=4

Find a(1)

Recursive:?

Recursive: a(1)=-17

                a(n)=a(n-1)+4 for n greater or equal to 2

200

6,18,54,162, ...

Explicit:?

Find a(9)

Explicit: an=2(3)^n

a(9)=39,366

200

Where did Mrs. Blair get married?

Discovery Park

300

2,30,450,6750, ...

r=15

300

77,165,253,341, ...

d=88

300

a(4)=-3, difference=2

Explicit:?

Find a(27)

Explicit: a(n)=2n-11

a(27)=43

300

a(2)=-40, ratio=-8

Find a(1)

Recursive:?


Recursive: a(1)=5

                a(n)=8*a(n-1) for n greater or equal to 2



300

What is Ms. A's oldest niece called?

Emily

400

8,160,3200,64000, ...

r=20

400
-39,17,73,129, ...

d=56

400

34,41,48,55, ...

Recursive:?

Explicit:?

Recursive: a(1)=34

                a(n)=a(n-1)+7 for n greater or equal to 2

Explicit: a(n) = 7n +27


400

a(4)=-108, ratio=3

Explicit:?

Recursive: a(1)=-4

                a(n)=3*a(n-1) for n is greater or equal to 2

Explicit: a(n)=-4/3(3)^n

400

What is Mrs. Blair allergic to?

Nuts

500

18,72,288,1152, ...

r=4

500

-36,-14,8,30, ...

d=22

500

a(35)=-16, ddifference =3

Recursive:

Explicit:


Recursive: a(1)=-118

                a(n)=a(n-1)+3 for n greater or equal to 2

Explicit:  a(n)=3n-121

500

2,26,338,4394, ...

Recursive:?

Explicit:?

Find a(4)

Recursive: a(1)=2

                a(n)=13*a(n-1) for n is greater or equal to 2

Explicit: a(n)=2/13(13)^n 

a(40=4,394

500

What is Ms. A allergic to?

The cold... I know