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
Gwar [14]
3 years ago
12

4.5, 9, 13.5, 18...

Mathematics
2 answers:
Sladkaya [172]3 years ago
5 0

Answer:

a) Arithmetic

b) 22.5

c) 4.5

d) a_n = 4.5 + 4.5(n - 1)

e) a_15 = 67.5

Step-by-step explanation:

a) Subtract one term by the term right before it, and the difference will be the common difference.

9 - 4.5 = 4.5

13.5 - 9 = 4.5

18 - 13.5 = 4.5

Therefore, the common difference is 4.5.

b) Since the common difference is 4.5, add 4.5 to the 18 (which was the last value given). The result is 22.5.

c) We have already figured out that the common difference is 4.5.

d) The explicit formula would be a_n = a1 + d(n - 1). The first term is 4.5 and d is also 4.5, so the explicit formula is a_n = 4.5 + 4.5(n-1).

e) Plug 15 into our explicit formula for n. a_15 = 4.5 + 4.5(14). The result is 67.5.

leonid [27]3 years ago
3 0

Answer:

A. Arithmetic, because they have a common difference of 4.5

B. The next term will be 18 + 4.5 = 22.5

C. Common difference = T2 — T1 or T3 —T2

T2 — T1 = 9 — 4.5 = 4.5 or

T3 —T2 = 13.5 — 9 = 4.5

D. Tn = a + d( n — 1)

E. Tn = a + d( n — 1)

a = 4.5

d = 4.5

n = 15

T15 = 4.5 + 4.5( 15 — 1)

T15 = 4.5 + 4.5(14) = 67.5

You might be interested in
What is the slope of the line that contains the points (9,-4) and (1,-5)?
marissa [1.9K]

Answer:

B

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
triangle qrs has the angle measures shown. m∠q = (1x)° m∠r = (3x)° m∠s = (6x)° the measure of the obtuse angle equals
skelet666 [1.2K]
The sum of all interior angles in a triangle is 180°.

m∠q + m∠r + m∠s = 180°
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18

m∠q = (1x)° = 1 x 18 = 18°
m∠ r = (3x)° = 3 x 18 = 54°
m∠s = (6x)° = 6 x 18 = 108°

m∠s is the obtuse angle because its measure is more than 90°. Its angle measures 108°
7 0
3 years ago
Read 2 more answers
Which equation represents the line that passes through the points (2, 4) and (1, -3)?
zhannawk [14.2K]

Answer:

y = 7x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)

m = \frac{-3-4}{1-2} = \frac{-7}{-1} = 7, thus

y = 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 4), then

4 = 14 + c ⇒ c = 4 - 14 = - 10

y = 7x - 10 ← equation of line

6 0
3 years ago
When the input of the function is -4 what is the output of the function
IceJOKER [234]

Answer:

The output is 5

Step-by-step explanation:

-4 is the input (x value). To find the output, you have to find where -4 is on the line. -4 is on the line when 5 is the y coordinate (output).

8 0
3 years ago
V+w=7<br> v+W=1<br> Find the rise over run
olya-2409 [2.1K]
You can honestly find it your self your probably failing your class
7 0
3 years ago
Other questions:
  • What is 3/48 in simplist form?
    12·2 answers
  • Help please!!!!!!!!!!!!​
    10·2 answers
  • Isabella buys a digital camera and pays $7.20 in sales tax. The tax rate is 6%. What is the original cost of the camera?
    6·1 answer
  • I need this answer quickly please
    12·1 answer
  • What figure is a dilation of Figure A by a factor of 2?
    7·1 answer
  • Which of the following transformations is the only one that can change the lengths of its sides but remain similar??
    13·1 answer
  • Find the coefficient for 3f+5
    15·1 answer
  • Hello guys I really need help is anyone available please and ty
    8·1 answer
  • Classify each triangle by side length and angle measure.
    11·1 answer
  • The results of a survey about favorite lunch choices are shown.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!