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
What is the length of the base if the area is 32 cmand the height is 4 cm
vovikov84 [41]

Answer:

128,8,28,36

Step-by-step explanation:

if u multiply 32 times 4 u get 128 but if u subtract them u get 28

but if u divide them then u get 8 but if u also add them u get 36

7 0
2 years ago
Solve for X<br><br> -3 (2x + 6) = 12<br><br> pls help <br> im ready to got bed<br> lol
kramer

Answer:

x=-5 Hope this helped! Goodnight!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(2x+6)=12

Step 1: Simplify both sides of the equation.

−3(2x+6)=12

(−3)(2x)+(−3)(6)=12(Distribute)

−6x+−18=12

−6x−18=12

Step 2: Add 18 to both sides.

−6x−18+18=12+18

−6x=30

Step 3: Divide both sides by -6.

−6x /−6 = 30 /−6

x=-5

6 0
3 years ago
Read 2 more answers
A car dealership pays 8350 for a car. they mark up the price by 17.4 to get the retail price. what is the retail price of the ca
Mila [183]

$9802.90

17.4%  = 0.174

so retail price = 8,350 + 8,350 * 0.174

= $9802.90

8 0
3 years ago
Find the measure of the indicated angle to the nearest degree.
eimsori [14]

1. use sin

inverse of sin(44/57) = 50.5 ---> 51°

2. use tan

inverse of tan(6/8) = 36.8 ---> 37°

3. use cos

inverse of cos(20/31) = 49.8 ---> 50°

4. use sin

inverse of sin(37/58) = 39.6 ---> 40°

6 0
3 years ago
5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times
solong [7]

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

7 0
2 years ago
Other questions:
  • The top of a kitchen table measures 160 cm by 90 cm. A beetle walks diagonally across the table. How far does it walk (to the cl
    5·1 answer
  • Find The art length of a sector with an area of 8 square units.
    12·1 answer
  • PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 15 POINTS !!
    5·1 answer
  • Find an equation of the tangent line to y=x²-4x at the point (3,-3)
    7·1 answer
  • Please help with this
    6·1 answer
  • Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this
    15·1 answer
  • In triangle ABC, B = 120°, a = 10, c = 18
    5·1 answer
  • At school, 19 percent of the students wore red shirts on Valentine’s Day. There are sixteen classes in the school with twenty-tw
    14·2 answers
  • (2) Mele scored 70% on
    15·1 answer
  • During a very cold winter, water pipes sometimes burst because:
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!