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
lara [203]
1 year ago
13

for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b

etween 99 and 301 ?
Mathematics
1 answer:
marusya05 [52]1 year ago
7 0

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

               ⇒    300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

                                                = 101/2 (300+100)

                                                = 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

You might be interested in
Find the greatest common factor of 15x 2 y 3 and -20x 3 yz.
vekshin1
Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get 
3x^2y. 
7 0
2 years ago
Read 2 more answers
Raju finished his work in 5/6 hour.Vrinda finished her work in 3/4 hour .who worked longer ? By what fraction was it longer
Nataly [62]

Answer:

Raju worked longer by 0.08 hours.

3 0
3 years ago
Name the diameter for the circle Q. A. QH. B.EH. C.HC. D.QE
Alisiya [41]

Answer:

B) EH

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
David's cell phone company charges $0.45 for each text message plus a monthly fee of $50.00. He owes $91.40. Write and solve an
Gelneren [198K]
91.40 - 50.00 = 41.40
41.40 ÷ .45 = 92
David sent 92 text messages.
(sorry if the format is wrong)
5 0
3 years ago
Which absolute value function defines this graph?
bixtya [17]
The first one because it has a negative slope (which is -4) and h is always the opposite while k stays the same. By the way h is the 2 and k is the 3
6 0
3 years ago
Read 2 more answers
Other questions:
  • A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. two marbles are drawn at random, one at a time and with out r
    10·1 answer
  • Evaluate the expression for the given value of the variable.<br> |-3x-4|+|2-x^2 |-4x; x=-3
    11·2 answers
  • HELP ASAP WILL GIVE BRAINILIST ANSWER<br><br> 8/3___19/7<br><br> A) &gt;<br> B) &lt;<br> C) =
    15·2 answers
  • a developer wants to develop 5 acres of land. Each lot in the develope is to be 1/12 of an acre. How many lots will the land dev
    9·1 answer
  • Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls
    8·1 answer
  • Plzzz help meeee I am timeddddd!!
    15·1 answer
  • STUDY TIP 1
    15·1 answer
  • For the function f(x) = x3<br> Find f(2) = <br><br> Find f(-2) =
    5·1 answer
  • Help me help me help help help me​
    11·1 answer
  • Huang bought 12 boxes of floor tiles that weight 288 pounds each. how much is this in kilograms
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!