Arithmetic Sequences Intro

Sequences or Not to Sequence

100

Describe: 12, 14, 16, 18, 20, .....

What is an arithmetic sequence where d=2 a₁=12

200

Describe: 3, 8, 13, 18, 22, .....

What is an arithmetic sequence where d=5 and a₁=3

300

Describe:  4, 11, 17, 24, 34, ....

Not an arithmetic sequence

400

Describe:  375, 225, 75, -75,........

Arithmetic sequence d=-150 and a₁=375

500

Describe: 506, 403, 300, 197, 94, .....

An arithmetic sequence with a common difference of -103 and a₁=506

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

The equation of the general term (explicit formula)

100

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

a_n = 4n - 2

200

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

a_n = 3n - 4

300

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

a_n = 6n - 3

400

The explicit formula for the sequence: -16, -25, -34, -43, -52 Find the value of the tenth term.

a_n = -9n - 7, a₁₀= -97

500

-100, -50, 0, 50,... 

The explicit formula and the 7th term.

a_n = 50n - 150, a₇= 200

Random 1

100

a_{1 represents...}

The first term in a sequence

200

The general equation for the sequence 1, -2, -5, -8

a_n=-3n+4

300

Given the sequence 1, -2, -5, -8...

The value for the first and last term.

a₁=1

a_n=?

400

The equation of the general term is:  a_n=2n+5

The first term is -8.  The first five terms of the sequence.

-8, -4, 0, 4, 8

500

A table of values for the information given. The  common difference?

Time in minutes                   n=  2   4   6

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

d=-2

Random 2

100

True or false: arithmetic sequences include sequences that increase by repeated multiplication.

False

200

The missing term in the following Arithmetic sequence. -3, ___ ,-27

What is -15

300

The first 5 terms of the sequence if a_n = 2n - 1

1, 3, 5, 7, 9

400

What is the fifth term in the sequence defined by a_n=3n-9?

a₅=6

500

Describe the pattern: 1, 1, 2, 3, 5, 8, 13,...

Not arithmetic