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
alisha [4.7K]
3 years ago
7

Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term i

s greater than the fourth term by 560. (Note: there should be 3 different possible geometric sequences)
Mathematics
1 answer:
Olegator [25]3 years ago
8 0

Answer:

  • -35/3, -140/3, - 560/3, -2240/3
  • 7, -28, 112, - 448  

Step-by-step explanation:

<u>The terms are:</u>

  • a₁, a₂, a₃, a₄

<u>Given:</u>

  • a₁ = a₂ + 35
  • a₃ = a₄ + 560

<u>Use the nth term formula:</u>

  • a₂ = a₁r
  • a₃ = a₁r²
  • a₄ = a₁r³

<u>Substitute:</u>

  • a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
  • a₁r² = a₁r³ + 560  ⇒ a₁(1 - r)r² = 560

<u>Divide the second equation by the first:</u>

  • r² = 560/35
  • r² = 16
  • r = √16
  • r = ± 4

<u>Use the first equation to find the first term:</u>

  • a₁( 1 ± 4) = 35
  • 1. a₁ = 35/-3 = -35/3
  • 2. a₁ = 35/5 = 7

<u>We have two sequences:</u>

r = 4

  • -35/3, -140/3, - 560/3, -2240/3

r = -4

  • 7, -28, 112, - 448  
You might be interested in
The one world trade center In New york City is about 3 1/5 times as tall as the Washington Monument In Washington D.C THE Washin
Naya [18.7K]
So you would do 555 times 3 1/5. Your answer would be 1776 feet tall.
5 0
3 years ago
Read 2 more answers
Could you hlp me now
avanturin [10]

Answer: A

Step-by-step explanation:

The ratio is simply 2:5

You are comparing the two times

8 0
3 years ago
Read 2 more answers
Which number can be used as a common denominator for the fractions 1/4 and 5/6? Check all that apply.
Juli2301 [7.4K]
You could either use 12 or 24.
6 0
3 years ago
Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.
Ahat [919]

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

Read more about factorization at; brainly.com/question/11000698

The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

8 0
2 years ago
Find the area of triangle ABC when b= 141 degrees a= 7 and c=8
Vlad [161]
  You basically use the formula height*base/2 to find the area of the triangle. For instance, let's say a is your chosen base, which has a length of 7. You then use the pythagorean theorem of the right triangle (which is formed by splitting the triangle in half), which is a^2+b^2=c^2, and you substitute half your base for a and the other length (8) for c, which is the hypotenuse of the triangle. Note how this is all being done to find "b", which is the height of the triangle, which will then help you substitute all of your known values into the area formula of a triangle to answer your question. I'm not sure if b=141 degrees would have an impact on this question, but I hope this helped you in some way.
7 0
3 years ago
Other questions:
  • Order these numbers from least to greatest-
    9·2 answers
  • ​40/​79−162.5%= whats the answer.
    14·1 answer
  • True or false. If a is any odd integer, then a^2 + a is even. Explain this.
    11·1 answer
  • Given the slope of the line (y-2)=3(x+1) what is the slope
    15·1 answer
  • Find the area of the trapezoid with bases of 10 in and 14 in, and a height of 5 in.
    8·1 answer
  • Who knows the answer
    11·2 answers
  • Using traditional methods, it takes 9696 hours to receive a basic flying license. A new license training method using Computer A
    15·1 answer
  • Eight and three fourths minus five and one sixth equals ?
    11·1 answer
  • If the rate 30 hot dogs per 5 minutes is reduced to a unit rate, the result is what?
    7·1 answer
  • Which triangle is a 30°-60-90° triangle?<br><br> 1st Triangle<br> 2nd Triangle<br> 3rd Triangle
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!