1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Volgvan
1 year ago
7

Could I have some help on my patterns assignment​

Mathematics
1 answer:
nydimaria [60]1 year ago
8 0

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

<em>Conjecture:</em> Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

<em>Conjecture:</em> Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

<em>Conjecture:</em> Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

<em>Conjecture:</em> Each term is the next consecutive prime number.

5. <u><em>Correct as is</em></u>

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

<em>Conjecture:</em> Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

<em>We add 5 to each number</em>

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

<em>Divide each number by 2</em>

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

<em>We have to cube n:</em>

<u><em>n³ = consecutive number cubed</em></u>

<u><em></em></u>

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: <u><em>Consecutive prime numbers are those that have no gaps or prime numbers between them.</em></u>

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

<em>We must add the two previous numbers to get the next term:</em>

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

You might be interested in
What is mean median mode
Alborosie

Answer:

Step-by-step explanation:

mean- add up all numbers and divide by how many numbers there are

median- the middle number out of the list of numbers

mode- the number you see most often

5 0
3 years ago
Read 2 more answers
Three angles of a quadrilateral are 75,120, 90,then the fourth angle..​
Roman55 [17]

Answer:

75

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

  • Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

<u>Step 1: Set up</u>

75 + 120 + 90 + ∠4 = 360

<u>Step 2: Solve</u>

  1. Add:                                                                                                                   285 + ∠4 = 360
  2. [Subtraction Property of Equality] Subtract 285 on both sides:                   ∠4 = 75
5 0
3 years ago
What are the values of the function y=-2 x-4 for x=0,1,2,3
iragen [17]

Answer:

read description

Step-by-step explanation:

y=-2(0)-4    ANSWER: y=-4

y=-2(1)-4     ANSWER: y=-6

y=-2(2)-4    ANSWER: y=-8

y=-2(3)-4    ANSWER: y=-10

7 0
3 years ago
Solve the following for x
levacccp [35]

Answer:

x = 9

Step-by-step explanation:

50+80+(6x-4)=180 (ANGLE SUM PROPERTY)

130 +(6x-4)=180

6x-4=180-130

6x-4=50

6x=50+4

x=54/6

x = 9

4 0
3 years ago
roger bought 8 small bricks for his garden for $5.46. the total weight of the bricks was 6 1/4 pounds how many pounds does one b
mestny [16]

Answer:

0.78125 pounds

Step-by-step explanation:

the weight of 8 brick is 6.25 pound

divide the weight by 8 to take the weight for the one brick

3 0
3 years ago
Other questions:
  • Find the surface area. SHOW WORK
    12·2 answers
  • How many times larger is 400 than 4
    10·2 answers
  • Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C. {} {a} {a, b, e, g, h, l, m, r, t, y}
    10·2 answers
  • A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept f
    13·1 answer
  • Helps me solve this problem please
    5·1 answer
  • PLEASEE HELPPP
    6·2 answers
  • Write a simplified expression for the perimeter of the<br> figure at right.
    12·1 answer
  • Which of the expressions below has a quotient that is greater than 15? Select all that apply.
    14·1 answer
  • Solving the following system using the elimination method. 2x+y=-9<br> 2x-5y=-3
    5·2 answers
  • Yesterday, john had $15. In 7 days, He would have 23.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!