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
Harman [31]
2 years ago
15

the sum of three number number in an artithmetic product is 21. if second number isreduced by 1 and third term is increased by 1

we obtain the geometric product find the numbers
Mathematics
1 answer:
grin007 [14]2 years ago
7 0

The three numbers will be 12, 7, 2 and 3, 7, 11.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Let the three consecutive numbers be a, a + d, and a + 2d

The sum of three numbers which are consecutive terms of an A.P. is 21.

a + a + d + a + 2d = 21

3(a + d) = 21

a = 7 - d

If the second number is reduced by 1 and the third term is increased by 1 we obtain the geometric product.

Then the number will be a, a + d − 1, a + 2d + 1. Then we have

\rm \dfrac{a + d - 1}{a} = \dfrac{a + 2d + 1}{a + d - 1}

On simplifying, we have

36 = a (8 + d)

a² - 15a + 36 = 0

On factorizing, the value of a will be

a² - 15a + 36 = 0

a² - 12a  - 3a + 36 = 0

(a - 12)(a - 3) = 0

a = 3, 12

If a = 12, then the value of d will be

d = 7 - 12

d = -5

If a = 3, then the value of d will be

d = 7 - 3

d = 4

Then the three numbers will be 12, 7, 2 and 3, 7, 11.

More about the sequence link is given below.

brainly.com/question/21961097

#SPJ1

You might be interested in
(x+6)(−x+1)=0 greatest x and least x = 0
Bumek [7]

Answer:

x=-6

×=1

Step-by-step explanation:

remove parentheses

connect like terms

change the signs

calculate the discriminant

simplify

6 0
3 years ago
If x + 3y = 13 and x + y = 5, the value of y is which of the following?
lana [24]
Just change the y to all of the answers. The correct answer to this particular one is  D. 4
5 0
3 years ago
Why wouldn't the man stand in line to step on the scale ?
Sati [7]
Maybe he didn't want anyone seeing his weight? I'm not sure what the question is here.
4 0
3 years ago
Special taxes may be placed on an estate.<br> true<br> or<br> false
kondor19780726 [428]

Answer:false

Step-by-step explanation:

5 0
3 years ago
The volume of the sphere is 500 cubic units.
Illusion [34]

Answer: 5 units

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Find n so that number sentence below is true and explain your answer, referencing the relevant properties of exponents
    12·1 answer
  • What is the discriminant of f(x) = -3x2 – 2x – 1?<br> A. -16<br> B. -8<br> c. 8<br> D. 16
    9·1 answer
  • The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units. What is the value of x?
    14·1 answer
  • iris charges $50 for her consulting services plus $60 for each hour she works. on one job, iris charged $470. for how many hours
    5·2 answers
  • James is following this recipe to make flapjacks.
    11·1 answer
  • Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable
    7·1 answer
  • In ΔDEF, the measure of ∠F=90°, DE = 52 feet, and FD = 14 feet. Find the measure of ∠D to the nearest degree
    12·1 answer
  • Jimmy thought he had purchased 7
    6·1 answer
  • PLS HELP ME IM TRYING TO GET MY GRADE UP
    14·2 answers
  • The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of ha
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!