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
klemol [59]
3 years ago
5

?? So lost with this

Mathematics
1 answer:
labwork [276]3 years ago
4 0

Answer:

A)\ 1,\ -1,\ -3\\\\B)\ d=-2\\\\C)\ \left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right\\\\D)\ f(n)=-2n+13

Step-by-step explanation:

It's an arithmetic sequence.

9 = 11 - 2

7 = 9 - 2

5 = 7 - 2

3 = 5 - 2

A) next three terms: 3 - 2 = 1, 1 - 2 = -1, -1 - 2 = -3

B) Common difference = -2

C) Recursive Function:

\left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right

D) Explicit Function:

f(n)=a_1+(n-1)d

a₁ - first term

d - common difference

Substitute a₁ = 11 and d = -2:

f(n)=11+(n-1)(-2)=11-2n+2=-2n+13

You might be interested in
Find the principal square root of 14.
Anika [276]
Sqrt14 = 3.74 (2dp)

The principal root is always the positive.
5 0
2 years ago
Can anyone help with this quiz???
makvit [3.9K]
The answer is quadrant 2!!!
8 0
2 years ago
Read 2 more answers
The price of two pairs and six apples is $14. The price of three pairs and nine apples is $21. Can you determine the unit prices
deff fn [24]

Answer:

  no

Step-by-step explanation:

The second purchase is exactly half-again larger than the first purchase, so sheds no light on the relative costs of the items. The per-item costs can be found when the ratio of items purchased is different from one buy to another.

___

We can only say that the cost of 1 pear and 3 apples is $7.

6 0
3 years ago
Calculate the following derivative if <br> f(x) = sin(x)<br> and <br> g(x) = 5x + 4.
gayaneshka [121]

Answer:

Rewrite the function as an equation.

y

=

5

x

−

4

Use the slope-intercept form to find the slope and y-intercept.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Find the values of  

m

and  

b

using the form  

y

=

m

x

+

b

.

m

=

5

b

=

−

4

The slope of the line is the value of  

m

, and the y-intercept is the value of  

b

.

Slope:  

5

y-intercept:  

−

4

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for fewer steps...

Choose  

1

to substitute in for  

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable  

x

with  

1

in the expression.

f

(

1

)

=

5

(

1

)

−

4

Simplify the result.

Tap for more steps...

1

The  

y

value at  

x

=

1

is  

1

.

y

=

1

Choose  

0

to substitute in for  

x

to find the ordered pair.

Tap for fewer steps...

Replace the variable  

x

with  

0

in the expression.

f

(

0

)

=

5

(

0

)

−

4

Simplify the result.

Tap for more steps...

−

4

The  

y

value at  

x

=

0

is  

−

4

.

y

=

−

4

Create a table of the  

x

and  

y

values.

x

y

0

−

4

1

1

Graph the line using the slope and the y-intercept, or the points.

Slope:  

5

y-intercept:  

−

4

x

y

0

−

4

1

1

Step-by-step explanation:

8 0
2 years ago
Arithmetic and geometric series -Find the sum of the first 50 terms of the following series, to the nearest integer.
grandymaker [24]

Answer:

<h3>             10,450</h3>

Step-by-step explanation:

21-13=8   and   29-21=8

So this is aritmetic series where a₁ = 13, and r = 8

Sum of the first n terms:  

S_n=\dfrac{a_1+a_n}{2}\cdot n=\dfrac{a_1+a_1+(n-1)r}{2}\cdot n=\dfrac{2a_1+(n-1)r}{2}\cdot n\\\\\\S_{50}=\dfrac{2\cdot13+(50-1)\cdot8}{2}\cdot50=(13+49\cdot4)\cdot 50=10,450

5 0
3 years ago
Other questions:
  • Which best explains why the equation 7x+3=7x=3 has infiniely many solutions
    10·2 answers
  • Find the base in the following problem.
    10·2 answers
  • If I flip a coin 10 times, how many times should I get heads?
    10·2 answers
  • 2
    6·1 answer
  • Jerilyn made 36 treats for her birthday. She gave 3 away to her family before taking the rest to school. What percent did she gi
    7·1 answer
  • This is the question ​
    14·2 answers
  • The mean of your test scores is 83.75. Three of your scores are 71, 89, 100. What is your fourth test score
    8·1 answer
  • The center of a circle is at (2 -5) and it's radius is 12. <br>What is the equation of the circle?​
    7·1 answer
  • If arc BC is 42° and angle 5 is 32°, what is the measure of arc DE?
    5·1 answer
  • Find x. Round your answer to the nearest integer.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!