Math Lesson 69 Patterns and Functions: Sequences

Extend a sequence by adding. Describe the pattern in the sequence 16, 24, 32, 40, ...

16, 24, 32, 40, ... Starting with 16 add 8 repeatedly.

Find the missing number. ____, 64, 16, 4 a. 512 b. 514 c. 257 d. 256

d. 256

Warm Up. What number should be added to the first number to get the second number? 1) 8 1/2, 10 2) 9, 12 1/2 3) 1 2/3, 2 1/3 4) 7 3/4, 9 1/4

1) 8 1/2, 10 (1 1/2) 2) 9, 12 1/2 (3 1/2) 3) 1 2/3, 2 1/3 (2/3) 4) 7 3/4, 9 1/4 (1 1/2)

Describe the pattern in the sequence 20, 16, 12, 8, ...

20, 16, 12, 8, ... Starting with 20 subtract 4 repeatedly.

Extend a sequence by multiplying. Describe the pattern in the sequence 5, 15, 45, 135, .....

5, 15, 45, 135, ..... Starting with 5 multiply by 3 repeatedly.

The NCAA basketball tournament starts with 64 teams. The 2nd round consists of 32 teams and the 3rd round consists of 16 teams. How many teams are in the fifth round?

64, 32, 16, 8, ____ ÷2 ÷2 ÷2 ÷2 The answer is 4.

Patterns and Functions: Sequences

A sequence is a list of numbers in a specific order. by determining the pattern, you can find additional numbers in the sequence. Sequences are formed by adding and subtracting numbers called arithmetic sequences. Sequences formed by multiplying or dividing numbers are called geometric sequences.

sequence

An ordered list of numbers.

Explain how the numbers are related in the sequence 9, 3, 1, 1/3.

Each number is 1/3 of the number before it.

James borrowed $315 from his parents fro a snowboard. he agreed to pay them back in monthly payments. In February he owed $265 after making his first payment. in March he owed $215. In April he owed $165. What are his monthly payments? How much will he owe in July?

He will owe $15 in July and his monthly payments are $50.

describe how a number sequence would be helpful in a contest or competition.

It would be useful in a contest or competition because you could figure out what place they can in.

Drake is right because Meghan didn't add the 1 1/2, she only added 1.

Meghan and Drake are finding the missing number in the sequence 3, 4 1/2, ____, 7 1/2...Who is correct?

Find the missing number. _____, 25, 5, 1 a. 125 b. 126 c. 252 d. 250

a. 125

Find the missing number. 39, 32 1/2, ____, 19 1/2,... a. 26 b. 25 c. 26 1/2 d. 25 1/2

a. 26

Describe the pattern, then find the next two numbers. 6, 11, 16, 21, ... a. add 5; 26, 31 b. add 5; 26, 34 c. add 4; 26, 39 d. add 6; 28, 31

a. add 5; 26, 31

Describe the pattern and give the next two numbers in the sequence. 3, 6, 12, 24, ... a. multiply by 2; 48, 96 b. multiply by 3; 96, 96 c. multiply by 1; 48, 384 d. multiply by 2; 48, 192

a. multiply by 2; 48, 96

Find the missing number. _____, 32, 8, 2 a. 129 b. 128 c. 258 d. 256

b. 128

The first four terms in a pattern are 4, 7, 10, and 13. What is the fifth term in the pattern? a. 15 b. 16 c. 17 d. 18

b. 16

Thomas is getting in shape for track. he's starting with a 2 mile run and will increase the run by 1/2 mile each week for 4 weeks. What will his distance be for the second, third and fourth weeks? a. 3 mi, 4 1/2 mi, 6 mi b. 2 1/2 mi, 3 mi, 3 1/2 mi c. 4 mi, 5 1/2 mi, 7 mi d. 2 mi, 2 1/2 mi, 3 mi

b. 2 1/2 mi, 3 mi, 3 1/2 mi

Describe the pattern and give the next two numbers in the sequence. 8, 14, 20, 26, ... a. add 5; 32, 47 b. add 6; 32, 38 c. add 6, 32, 41 d. add 7; 34, 38

b. add 6; 32, 38

Describe the pattern and give the next two numbers in the sequence. 5, 25, 125, 625, ... a. multiply by 6; 6,250; 15, 625 b. multiply by 5; 3,125; 15, 625 c. multiply by 4; 3,125; 156,250 d. multiply by 5; 3,125; 31,250

b. multiply by 5; 3,125; 15,625

Paco bought 10 feet of rope. he cut it into several 5/6 foot pieces. Which equation can you use to find how many pieces of rope Paco cut? a. 5/6 ÷ 10 = x b. 5/6 ÷ x = 10 c. 10 ÷ x = 5/6 d. 10x = 5/6

c. 10 ÷ x = 5/6

if the first four term,s in a number pattern are 3, 7, 12, and 18, what are the next two terms in the pattern? a. 22, 26 b. 23, 28 c. 25, 33 d. 24, 31

c. 25, 33

Find the missing number. _____, 25, 125, 625 a. 12 b. 10 c. 5 d. 6

c. 5

A pattern begins with the number 7 and repeatedly adds 5. What are the first four terms in this pattern? a. 7, 12, 19, 24 b. 5, 12, 19, 26 c. 7, 12, 17, 22 d. 7, 14, 21, 28

c. 7, 12, 19, 22

Solve by first solving a simpler problem. You and your friends are going to bake 48 loaves of bread for the bake sale. You need 1 1/4 cups of flour for each loaf. A bag contains 18 3/4 cups. How many bags of flour do you need for all of the loaves? a. 4 1/2 bags b. 4 1/4 bags c. 3 1/2 bags d. 3 1/5 bags

d. 3 1/5 bags

Solve by first solving a simpler problem. On a school day, jose spends 5 1/4 hours in class. Each class lasts 3/4 hour. How many classes does he have? a. 4 b. 5 c. 6 d. 7

d. 7

Find the missing number. ______, 27, 9, 3 a. 164 b. 162 c. 81 d. 82

d. 82

Describe the pattern, then find the next two numbers. 7, 12, 17, 22, ... a. add 5; 27, 35 b. add 4; 27, 40 c. add 6; 29, 32 d. add 5; 27, 32

d. add 5; 27, 32

Describe the pattern and give the next two numbers in the sequence. 7, 13, 19, 25,... a. add 7; 33, 37 b. add 6; 31, 40 c. add 5; 31, 46 d. add 6; 31, 37

d. add 6 31, 37