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
Hatshy [7]
1 year ago
11

37. The sum of first three terms in an arithmetic progression is 24 and the sum of their squares is 224. Find the first three te

rms of this arithmetic progression.
​
Mathematics
1 answer:
Airida [17]1 year ago
8 0

Answer:

12, 8, and 4

Step-by-step explanation:

  • Given

a + d + a + a - d = 24

3a = 24   ⇒  [ a = 8 ]  

and (a + d)² + a² + (a - d)² = 224

3a² + 2d² = 224

2d² = 224 - 192 = 32

d² = 16

[ d = ±4 ]

∴ The first three terms to A.P are

a + d = 8 + 4 = 12

a  -  = 8

a - d = 8 - 4 = 4

∴ Three terms are 12 , 8, and 4

You might be interested in
Who is the father of modern Biology?<br>​
telo118 [61]
Aristotle
Hope this helps
5 0
2 years ago
Read 2 more answers
Help please.........
kolbaska11 [484]
The answer must be C because since they are the SAME line, they must have the SAME slope
7 0
3 years ago
Read 2 more answers
Approximately what percentage of U.S. national income is paid to workers, as opposed to owners of capital and land? Select one:
Bezzdna [24]

Answer:

d. 50 percent

Step-by-step explanation:

8 0
3 years ago
Need help with 61-64 plz
Natalija [7]

- 3
- 3
8 0
3 years ago
You wish to test the claim that p &gt; 33 at a level of significance of a = 0.05 and are given sample 19) statistics n = 5O x =
densk [106]

Answer:

test statistic is 0.176

Step-by-step explanation:

Given Data

p>33

a=0.05

n=50

x=33.3

d(population deviation)=12

Test statistics=?

Solution

Test statistic z=(p-x)\(d/sqrt(50))

z=(33.3-30)\(12\sqrt(50))

z=0.176

5 0
2 years ago
Other questions:
  • One number is 7 more than another. The difference between their squares is 161. What are the numbers?
    13·2 answers
  • 8 and 1/5 - 3 and 4/5
    5·1 answer
  • What is 72<br> x 19<br><br><br><br><br>the answer is what ​
    11·2 answers
  • What’s the unit rate for 2550 gallons in 30 days round to the nearest hundredth
    6·1 answer
  • In the exercises 6-14, X=12, Y=10, Z=24. write each ratio in simplest form
    6·1 answer
  • What is the slope of the line parallel to y= 5x+2.<br><br> A. -1/5<br> B. -5<br> C. 5<br> D. 1/5
    8·1 answer
  • What is the solution to 0.4(12 - 3x) = 0.3(12x - 16)?<br> F. 4<br> G. 2<br> H. -2<br> J. -4
    14·1 answer
  • Can someone solve this please
    15·1 answer
  • SOMEONE HELP !!
    13·1 answer
  • If you receive a 30% DISCOUNT off an item costing $60.00, how much money do you save?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!