LSM3: LT13 - Sequences

Identify

100

Is the following sequence arithmetic or geometric?

2, 4, 8, 16, 32, 63

Geometric

200

Is the following sequence arithmetic or geometric?

4, 10, 16, 22, 28

Arithmetic

300

Is the following sequence arithmetic or geometric?

3, 8, 13, 18, 23, 28

Arithmetic

400

Is the following sequence arithmetic or geometric?

1000, 500, 250, 175

Geometric

500

Is the following sequence arithmetic or geometric and what is the common ratio or difference?

4, 16, 64, 256, 1024

Geometric, r = 4

Solve for nth term

100

Solve for the 8th term.

a_n = 4 + 3(n-1)

a₈ = 25

200

Solve for the 10th term.

a_n = 4 * 2^n-1

2048

300

Solve for the 6th term.

a_n = -10 + 3(n - 1)

a₆ = 5

400

Solve for the 9th term.

a_n = 100 + -4(n-1)

a_n = 68

500

Solve for the 6th and 9th terms.

a_n = 3 x -3^n-1

a₆ = -729

a₉ = 19683

Create Equation

100

Write an equation based on the information below.

a₁ = 4 and d = -5

a_n = 4 + -5(n-1)

200

Write an equation based on the information below.

a₁ = 5 and r = (1/2)

a_n = 5 * (1/2)^n-1

300

Write an equation based on the information below.

-24, -28, - 32, -36

a_n = -24 + -4(n-1)

400

Write an equation based on the information below.

a₁ = 6 and r = -3

a_n = 6 * -3^n-1

500

Write an equation based on the information below.

4, 20, 100, 500 

a_n = 4 * 5^n-1

Create Sequence

100

Write a sequence with at least four terms, of which 4 is the first term and the common difference of 3. 

4, 7, 10, 13

200

Write a sequence of at least four terms that has a common difference of 5. 

Examples:

5, 10, 15, 20

1, 6, 11, 16

4, 9, 14, 19

300

Write a sequence of at least four terms, with a common ratio of 2. 

3, 6, 12, 24, 48

400

Write a sequence of at least four terms with a common ratio of 6. 

1, 6, 36, 216

2, 12, 72, 432

500

Write a sequence of at least four terms with a common difference of -3.

Ex. 30, 27, 24, 21

10, 7, 4, 1

100, 97, 94, 91