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
Ede4ka [16]
3 years ago
13

Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.

Mathematics
2 answers:
Alecsey [184]3 years ago
5 0

Answer:

C on edg

Step-by-step explanation:

Ahat [919]3 years ago
3 0

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

You might be interested in
A person jogs 4.0 km in 32 minutes then 2.0 km in 22 minutes and finally 1.0 km in 16 minutes what is the joggers average speed
love history [14]
I think 68 km per min.
4 0
3 years ago
Read 2 more answers
A chef used 6 cups of flour for every 2 cups of sugar to bake a cake. If he uses 12 cups of sugar, how many cups of flour did he
AVprozaik [17]

Answer:

36

Step-by-step explanation:

2 goes into 12 6 times and 6x6 = 36.

5 0
3 years ago
Read 2 more answers
?????????????????????
valentinak56 [21]

Step-by-step explanation:

\huge \: 2 \sqrt{x} .4  {x}^{ -  \frac{5}{2} } \\  \\   \huge \: = 2.4 {x}^{ \frac{1}{2} }  . {x}^{ -  \frac{5}{2} } \\  \\ \huge \:   = 8 {x}^{ \frac{1}{2}  -  \frac{5}{2} }  \\  \\   \huge \: = 8 {x}^{ \frac{1 - 5}{2} }  \\  \\ \huge \:   = 8 {x}^{ -  \frac{4}{2} }  \\  \\ \huge \:   = 8. {x}^{ - 2}  \\

4 0
3 years ago
Can someone answer my newest question please will give brainly
Aleksandr-060686 [28]

Answer:

yes if you give me brainliest

Step-by-step explanation:

8 0
3 years ago
A square room in Amber's home has an area of 128 square feet. Which is the best estimate of one side length of the room?
Nitella [24]
A best estimate would be 32
6 0
3 years ago
Read 2 more answers
Other questions:
  • rosa wants to make blueberry pancakes. she has 3/4 cups of blueberries each batch of blueberry pancakes takes 1/8 cup of blueber
    10·2 answers
  • Which graph represents the compound inequality?<br> n &lt; –2 or n ≥ 4
    12·2 answers
  • Which of the following best describes the expression 4(y + 6)?
    9·1 answer
  • If cos θ = -2/5 and tan θ &gt; 0, what is the value of sin θ? PLEASE HELP!!!
    11·1 answer
  • 19 = 15 w- 4(3 w-1) solve for w
    15·1 answer
  • 17. GradPoint
    8·2 answers
  • Create an equation that has a solution of x=4)
    11·1 answer
  • Please help all of it, tysm
    12·1 answer
  • Write an inequality, using x as the variable, that represents this situation
    13·2 answers
  • Solve the given system using elimination.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!