Name that Sequence
Arithmetic
Write the Explicit Formula
Write the Recursive Formula
Geometric
100
Is the following sequence Arithmetic, Geometric or Neither? 12, 14, 16, 18, 20, .....
What is arithmetic?
100

This is the value of the 6th term of the sequence.

5, 7, 9, ...

What is 15?

100

The explicit formula for the sequence:

2, 6, 10, 12, 16.......

What is
f(n)=2+4(n-1)

100

The recursive formula for the sequence:
3, 10, 17

What is
F(n) = F(n-1) +7

100

This is the value of the 10th term of the sequence.

5, 10, 20, ...

What is 2,560?

200

Is the following sequence Arithmetic, Geometric or Neither? 3, 8, 13, 18, 23, .....

What is arithmetic?

200

This is the value of the 15th term of the sequence.

3.2, 4.7, 6.2, ...

What is 24.2?

200

The explicit formula for the sequence: 

-1, 2, 5, 8, 11

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

200

The recursive formula for the sequence:
2, 16, 128

What is
F(n) = F(n-1) *8

200
This is the value of the first term when the 5th term is 512 and the common ratio is 4.
What is 2
300
Is the following sequence Arithmetic, Geometric or Neither? 4, 11, 17, 24, 34, ....
What is neither?
300

This is the value of the 1st term when the 23rd term is 36 and the common difference is 2.

What is -8?

300

The explicit formula for the sequence 

3, 9, 27, 81,......

What is
f(n) = 3 * 3^(n-1)

300

The recursive formula for the sequence:
-13, -20, -27

What is
F(n) = F(n-1) -7

300

This is the value of the 10th term when the 1st term is 1 and the common ratio is 3.

What is 19683?

400

Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 375, 75, 15, 3, 3/5, ........

What is geometric?

r=1/5

400

This is the value of the 125th term when the 1st term is 8 and the common difference is 3.

What is 380?

400

The explicit formula for the sequence AND find the value of the tenth term

-16, -25, -34, -43, -52 


What is
f(n)=-16-9(n-1)

f(10)=-97

400

The recursive formula for the sequence:
10, 14, 18

What is
F(n) = F(n-1) +4

400
This is the common ratio when the 1st term is 2 and the 3rd term is 72.
What is 6
500

Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 506, 403, 300, 197, 94, .....

What is arithmetic?

d=-103

500

This is the 200th term when the 3rd term is 12 and the common difference is -5.

What is -973?

500

The explicit formula for the sequence AND what is the value of the 10th term?

2, 8, 32, 128, ... 

What is
 f(n) = 2 * 4^(n-1)

f(10) = 524,288

500

The recursive formula for the sequence:
4, 12, 36, 108

What is
F(n) = F(n-1) *3

500
This is the value of the 10th term when the 2nd term is 6 and the 3rd term is 18.
What is 39366
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