Arithmetic and Geometric Sequences Jeopardy Template

Arithmetic

Geometric

Variable Vocab

Identify the Sequence

Complete the Sequence

100

The formula for an arithmetic sequence

f(_n)=d+(n)(r)

100

The formula for a Geometric sequence

_f(n)=d(r)⁽ⁿ⁾

100

What does "n" stand for in both arithmetic and geometric sequence equations?

"n" stands for the term number/position

100

Arithmetic, geometric, or neither?

-10, -30, -50, -70...

Arithmetic

d= -20

100

Find the common difference or ratio to find the next term of the sequence:

-1, -2, -4, -8, __

r= 2

n₅= -16

200

Find the 9th term:

53, 50, 47, 44, 41...

_N9= (53)+(9)(-3)

_N9=26

200

Find the 6th term:

2, 6, 18, 54...

_N(6)=(2)(3)⁽⁶⁾

_N6= 1,458

200

What does "d"stand for in both arithmetic and geometric sequence equations?

"d" stands for the first term

200

Arithmetic, geometric, or neither?

22, 44, 66, 88...

Arithmetic

d= 22

200

Find the common difference or ratio to find the next 2 terms in the sequence

0, -4, -8, -12,__, __,...

r= -4

_n5= -16

_n6= -20

300

What is the common difference in this sequence?

31, -69, -169, -269

d= -100

300

What is the common ratio in this sequence?

1, 2, 4, 8, 16, 32...

r= 2

300

What does "r" stand for in arithmetic sequence equations?

"r" stands for common difference/common ratio

300

Arithmetic, geometric, or neither?

-0.5, 1, -2, 4,...

Geometric

r= -2

300

Find the common difference or ratio to find the next 4 terms of the sequence

-1, -0.5, -0.25, -0.125, __, __, __, __,...

r= 1/2

_n5= -0.0625

_n6= -0.03125

_n7= -0.015625

_n8= -0.0078125

400

Find the 29th term:

11, 20, 29, 38...

A₃₀= (11)+(29)(9)

A₃₀= 272

400

Find the 8th term:

-2, 10, -50, 250...

A₈= (-2)(-5)⁽⁸⁾

A₈= 781,250

400

arithmetic sequence involves what type of math operation?

addition and subtraction

400

Arithmetic, geometric, or neither?

4, 8, 16, 32,...

Geometric

r= 2

400

Find the first and fifth terms

__, 10, -50, 250, __,...

r= -5

_n1= -2

_n5= -1,250

500

Find the number of terms in the following sequence:

9, 5, 1...-251

n= 66

500

Find the number of terms in the following sequence:

-1/2, -1/4, -1/8, -1/16,... -1/1024

2, 4, 8, 16, 32,... 1024

n= 10

500

geometric sequence involves for what type of math operation?

multiplication

500

Arithmetic, geometric, or neither?

1, 1, 2, 3, 5,...

Neither

Its Fibonacci's sequence B-)

500

Find the first and fourth terms

__, 20, 29, __, 47,...

d= 9

_n1= 11

_n4= 38