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
GenaCL600 [577]
3 years ago
10

Use​ Gauss's approach to find the following sums​ (do not use​ formulas). 1+3+5+7+...999

Mathematics
1 answer:
muminat3 years ago
4 0
S=1+3+5+\cdots+995+997+999
S=999+997+995+\cdots+5+3+1
\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)

2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

2S=500\times1000=500000
\implies S=250000
You might be interested in
Given △ABC, sin(A) = <br><br> A. cos(B)<br> B. sin(B)<br> C. cos(C)<br> D. tan (C)
irinina [24]

the answer is cos(C).

7 0
3 years ago
Read 2 more answers
Solve for n<br><br> -19=-8+n
laila [671]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{n = -11}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{-19 = -8 + n}

Find:  \textsf{Solve for n}

Solution: In order to solve for n we need to add 8 to both sides which would cancel -8 on the right side and isolate n giving us the value of n.

<u>Add 8 to both sides</u>

  • \textsf{-19 + 8 = -8 + 8 + n}
  • \textsf{-19 + 8 = n}
  • \textsf{-11 = n}

Therefore, the final answer would be that n is equal to -11.

6 0
1 year ago
Read 2 more answers
A student fond the slope of a line that passes through the points (-8,-6) and (2,-3) to be 3/10. what mistake did she make?
goldfiish [28.3K]
Simple ....

we know to find slope is (y1-y2)/(x1-x2)

if we plug in what we know......

(-8,-6),(2,-3)

(-6--3)/(-8-2)

it turns into...

(-6++3)/(-8+-2)

(-3)/(-10)= 3/10

Thus, your answer is that she made no mistake. (C)
4 0
3 years ago
The ________ of an angle is a segment or a ray that passes through the vertex of an angle and splits it into two congruent angle
Yakvenalex [24]
Bisector is the correct answer  <span />
4 0
3 years ago
Please help me with the article help please help me
Anvisha [2.4K]

Answer:

I think it's like this

Article -6

Description: coffee........ gunguli .

who is interested in statistics?

-karen riche at the French National institute of medical research ,whose work appears in journal neurology

who is the audience?

-7000 men's and women's in the three french cities.

what kind of decision one should make after reading this article?

reading the above article I came to acknowledge that women are only benefited as they don't metabolizes coffee in same way as men.so men should take more care and control over their coffee consumption than women.

Description: coffee........ gunguli

(in here write whole sentence I just did in short cut)

8 0
3 years ago
Other questions:
  • Suppose the desks are arranged in rows of 4. how many seating arrangements are there that put larry, moe, curly, and shemp in th
    11·1 answer
  • The distributive property of multiplication justifies which of the following statements?
    9·2 answers
  • What is the length of the hypotenuse in a right triangle if the legs are 50 and 120
    6·1 answer
  • Can someone help me with this please, I would really appreciate it, thank you!<br> (Geometry)
    13·1 answer
  • A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest.
    9·1 answer
  • A soccer stadium has 25 sections of seating. Each section has 44 rows of seats, with 22 on the first row, 23 in the second row,
    11·2 answers
  • Evaluate the expression when m= 2. m2 - 8m -3​
    10·2 answers
  • Find the value of x in each figure <br><br>PLEASE DONT GIVE ME A LINK<br>​
    7·1 answer
  • __________________________
    9·2 answers
  • Sarah had a balance of $162 in her bank account at the start of the week. She withdrew $63.50 on Monday, $23.25 on Wednesday, an
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!