Sequences and Series (JHS)

Name that Sequence

100

What type of sequence is the following and name the common difference or ratio:

3,6,12,24...

Geometric:'

R=2

200

What type of sequence is the following and name the common difference or ratio:

7,10,13,16.....

Arithmetic:

D: 3

300

What type of sequence is the following and name the common difference or ratio:

100,50,25,12.5

Geometric:

r: 1/2 or  .5

400

What type of sequence is the following and name the common difference or ratio:

1,1,2,3,5....

neither

500

What type of sequence is the following and name the common difference or ratio:

a_n=3n-2

Arithmetic:

D: 3

The Secret Formula

100

The first term is 5. Common difference is 4. 

a_n=5+4(n-1)

or

a_n=4n+1

200

Provide the Explicit Formula for the following.

a₁=2

r=3

a_n=2(3)^n-1

300

Provide the explicit Formula for the following.

2,6,18,54.....

a_n=2(3)^n-1

400

Given the following, provide the answer to a₁

a₃=18

r=2

a₁=4.5  or 

9/2

500

Provide the Explicit Formula for the following.

a₅=20

d=-2

a_n=-2n+30

Not Vocabulary, but a Term.

100

Find the 17th Term:

7,14,21....

119

200

a₁=3

r=2

a₆=?

96

300

a₁=7

d=3

a₁₀=?

34

400

a₁=4

r=-2

a₅=?

64

500

Given:

5,10,15...

a_n=100

What is the value of n?

20

Sum it Up

100

Find sum of first 5 terms of 2, 4, 6....

30

200

3+6+12+24.....

S₆=?

189

300

What is the sum of the following?

a₁=1

r=2

n=6 

63

400

Sum of first 10 terms of 100, 95, 90

775

500

S₇ =for the geometric sequence 5, −10, 20, −40,

215

Oh No, Word Problems

100

What type of sequence/series is the following scenario presenting?

A movie theater adds 2 new rows each week.

Arithmetic Sequence

200

What type of sequence/series is the following scenario presenting?

A bacteria culture triples every hour.

Geometric Sequence

300

What type of sequence/series is the following scenario presenting?

You invest $1000 with 10% compound interest.

Geometric Sequence

400

What type of sequence/series is the following scenario presenting?

A water tank leaks 3 gallons per hour.

Arithmetic Sequence

500

What type of sequence/series is the following scenario presenting?

A ball bounces to ¾ its previous height. First drop: 12 ft. What is total height after 5 bounces....

Geometric Sum

YMCA

100

What is the orientation of the following Hyperbola:

(x-2)^2/8-(y+4)^2/12

Horizontal 

200

 Find the GCF: 60x³y² + 90x²y³ − 30x⁴y

30x²y

300

sin^-1Θ=(√(2))/2

π/4

400

value of e (18 digits)

2.71828182845904523

500

What street is Jordan High School On?

and 

What is Dr. Crowells (School Principal) first name.

Fulshear Bend

Ethan