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Name that Sequence
Arithmetic
Write the Formula
Find the Missing term(s)
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 60th term when the 1st term is 5 and the common difference is -5.
What is -290?
100

The explicit formula for the arithmetic sequence: 2, 6, 10, 12, 16.......

What is t(n)=4n-2

100
Find the missing term in the following Arithmetic sequence. 3, ___ ,17
What is 10?
100

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

28

200
Is the following sequence Arithmetic, Geometric or Neither? 3, 8, 13, 18, 22, .....
What is arithmetic?
200
The value of the 1st term when the 23rd term is 36 and the common difference is 2.
What is -8?
200

The explicit formula for the arithmetic sequence: -1, 2, 5, 8, 11

What is t(n)=3n-4

200
Find the missing term in the following Geometric sequence. 2, ____, 128
What is 16?
200

Is 36 a term in the sequence?

t(n) = -5n + 7


No because -29/5 is not a positive integer
300
Is the following sequence Arithmetic, Geometric or Neither? 4, 11, 17, 24, 34, ....
What is neither?
300
This is the value of the 36th term when the 6th term is 11, the 18th term is 36, and the common difference is 3.
What is -186?
300

The explicit formula for the sequence -3, -5, -7, -9,......

What is t(n) = -2n - 1

300
Find the missing term in the following Arithmetic sequence. -13, ___ ,-27
What is -20?
300

Can 235 be a term for the following sequence?

t(n) = 3n + 4

Yes, because 77 is a positive integer.

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?
400

This is the value of the 125th term when the 10th term is 15 and the 11th term is 27.

What is 1395?

400

The recursive formula for the sequence -8,-3,2,7....

t(4) = 7

What is t(5)?

t(n+1) = t(n) + 5

t(n+1) = t(4) + 5

t(4 +1) = 7 + 5

t(5) = 12

400
Find the missing terms in the following Arithmetic sequence. 10, ____, ____ , _____, 26
What is 14, 18, 22?
400

What is the common ratio in the given sequence?

5, 40, 320, 2560.....

8

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?
500

This is the common difference when the zeroth term is 25 and the 75th term is 175.

What is 2

500

Given t(n+1) = t(n) + c.d 

c.d = -10

t(9) = 12

What is the value of the 10th term?

t(n + 1) = t(n) + c.d.

t(9 + 1) = t(9) - 10

t(10) = 12 - 10

t(10) = 2

500
Find the missing terms in the following geometric sequence. 4, ___ , _____, _____, 324
What is 12, 36, 108?
500
Fill in the blanks.

An arithmetic sequence has a ______________ and is associated with _____________ equations.

A geometric sequences has a ______________ and is associated with _____________ equations.

common difference, linear

common ratio (multiplier), exponential