Arithmetic Sequences : Review

Sequences or Not to Sequence

100

Is the following sequence Arithmetic? 12, 14, 16, 18, 20, .....

Yes

200

Is the following sequence Arithmetic? 3, 8, 13, 18, 22, .....

No

300

Is the following sequence Arithmetic? 4, 11, 17, 24, 34, ....

No

400

Is the following sequence Arithmetic? 375, 225, 75, -75,........

Yes

500

Is the following sequence Arithmetic? If so, what is the common difference? 506, 403, 300, 197, 94, .....

Yes, with a common difference of -103?

Find the missing term(s)

100

Find the missing term in the following Arithmetic sequence. 3, ___ ,17

What is 10?

200

Find the missing term in the following Arithmetic sequence. 2, 16, _____ , 44

What is 30?

300

Find the missing term in the following Arithmetic sequence. -13, ___ ,-27

What is -20

400

Find the missing terms in the following Arithmetic sequence. 10, ____, ____ , _____, 26

What is 14, 18, 22?

500

Find the missing terms in the following Arithmetic sequence. 4, _____ , _____, 304

What is 104 and 204

Explicit Equation

100

The explicit formula for the arithmetic sequence: 2, 6, 10, 14, ...

a_n= 2 + 4(n-1)

a_n=4n-2

200

(What is)The explicit formula for the arithmetic sequence: -1, 2, 5, 8, 11

a_n = -1 + 3(n-1)

a_n =3n-4

300

The explicit formula for the sequence 3, 9, 15, 21, ...

a_n= 3+6(n-1)

a_n=6n-3

400

(-16, -25, -34, -43, -52) Formula: a_n=-9(n-1)-16

Find the value of a₁₀.

a₁₀ = -97

500

-100, -50, 0, 50,... 

Write the explicit equation and find the 7th term.

a_n = -11 + 50(n-1)

a_n =50n-61

a₇ = 200

Recursively Equations

100

Sometimes sequences are described in subscript notation.  What does a₁ represent?

The first term in a sequence.

200

Write an recursive rule for the sequence 1, -2, -5, -8

a_n=1-3(n-1)

a_n=-3n+4

300

Write a formula for the sequence 100, 97, 94, 91, ....

a_n=100-3(n-1)

a_n=-3n+103

400

A sequence is defined by the recursive rule: 

a₁=-8
a_n=a_n-1 +4 

Write the first five terms of the sequence.

-8, -4, 0, 4, 8

500

What is the common difference of the sequence represented in the table?

Time in minutes                           n: 2   4   6

Elevation of scuba diver in feet   a_n: -4  -8  -12

-2

Random

100

True or false: arithmetic sequences increase by repeated multiplication.

False

200

Find the missing term in the following arithmetic sequence:

-3, ___ ,-27

What is -15

300

Write the first 5 terms of the sequence:

f(n) = 1+2(n-1)

1, 3, 5, 7, 9

400

What is the fifth planet from the sun?

Jupiter

500

Recursive Rule: a₁ = 5 , a_n= a_n-1+5

What is a₁₀ ?

a₁₀=55