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
Maru [420]
3 years ago
15

If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find t

he 15th term?​
Mathematics
1 answer:
patriot [66]3 years ago
5 0

Answer:

15th term = 116

Step-by-step explanation:

a= 4

Sum of an A.P = n/2 {2a + (n-1)d}

sum of first five term is equal to one-fourth of the sum of the next five term

5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d

5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}

40/2 + 20/2d = 1/4{ 40 + 45d)

20 + 10d= 40/4 + 45/4d

20 + 10d = 10 + 45/4d

20 - 10 = 45/4d - 10d

10 =45d - 40d /4

10 = 5/4d

Divide both sides by 5/4

10 ÷5/4 = d

10×4/5 = d

40/5 = d

8 = d

d= 8

Find the 15th term

15th term = a + (n-1)d

= 4 + (15-1)8

= 4 + (14)8

= 4 + 112

= 116

The 15th term is 116

You might be interested in
Answer Please---Due today!!!
Angelina_Jolie [31]

Answer:

14/44 or 7/22

because 44 is the total and the total number of latin cds are 14

so 14/44 simplified would be 7/22

hope it helped

Step-by-step explanation:

Please rate and mark as brainliest

Thank you and have a good day

5 0
2 years ago
Read 2 more answers
Hello! Question.
Bumek [7]
If I’m analyzing the question correct, you would pay 912 in total
8 0
3 years ago
Alex invests $12,500 in a savings account that pays 5% interest compounded quarterly. Approximately how much money will he have
Gala2k [10]
<span>A = P (1 + r/n)<span> (nt)
</span></span>A<span> = the future value of the investment</span>
P<span> = (the initial deposit or loan amount)</span>
r<span> = the annual interest rate (decimal)</span>
n<span> = the number of times that interest is compounded per year</span>
t<span> = the number of years the money is invested 
</span>
8 0
3 years ago
If the radius of a circle is 16 units, what is its area? (Use pie for it)
krok68 [10]

Answer:

804.25unit^2

Step-by-step explanation:

A=\pi r^2\\=\pi 16^2\\=804.25unit^2

3 0
3 years ago
Read 2 more answers
Graph quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3) and its image after the translation (x,y)→(x−5,y−2)
maria [59]

The graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have:

Quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3)

We can graph it on the coordinate plane as shown in the picture.

After applying the translation (x, y)→(x−5, y−2), the points becomes:

A'(-3, -5)

B'(-2, 3)

C'(1, 4)

D'(0, -5)

Similarly, we can graph it on the coordinate plane (refer attached picture)

Thus, the graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ1

6 0
2 years ago
Other questions:
  • A botanist created a linear model to predict plant height from soil acidity (pH level) for a certain type of plant. The slope of
    12·1 answer
  • Find the midpoint of the segment with endpoints of 6+3i and -12-5i
    6·1 answer
  • Jasmine swims 12 laps every afternoon, Monday through Friday. How many laps does she swim in one week?​
    10·2 answers
  • 3/4 gallon of paint covers 1/3 of the wall then how much paint is needed for the entire wall
    6·1 answer
  • A university​ president's salary for the​ 2012-2013 academic year was ​$460 comma 000
    9·1 answer
  • If sin 0 = -<br> and 270º &lt; 0&lt; 360°, what is cos 0?
    13·1 answer
  • NEED HELP PLEASE I NEED TO GET THIS ANSWER RIGHT!!! AND I NEED TO KNOW HOW YOU DID IT.
    9·2 answers
  • Problem #5
    15·1 answer
  • -2(4h+6)/-6+h for h=-5
    14·1 answer
  • Solve pls brainliest
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!