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
Ne4ueva [31]
3 years ago
7

What is sum of all odd numbers between 100 and 200

Mathematics
1 answer:
makkiz [27]3 years ago
5 0
Odd numbers are of the form:

2n-1

So first we need to know how many odd numbers there are between 100 and 200...

100<2n-1<200  add 1 to all terms

101<2n<201  divide all terms by 2

50.5<n<100.5, since n must be an integer

51≤n≤100 so there are 100-51+1=50 odd numbers

Notice that 2n-1 forms an arithmetic sequence from 101 to 199 in this instance.

The sum of any arithmetic sequence is the average of the first and last terms times the number of terms, mathematically:

s=(a+b)(n/2), where a and b are the first and last terms and n is the number of terms, we saw earlier that there are 50 terms and that a=101 and b=199 so:

s=(101+199)(50/2)

s=7500

So the sum of all odd numbers between 100 and 200 is 7500.
You might be interested in
In circle E shown below, the measure of ∠AED is 98°:
ElenaW [278]
We know that
<span>m Arc DC = 32°

if </span><span>∠AED = 98°
then 
</span>m Arc AD = 98°-----> by central angle

therefore
m Arc ABC=360°-[m Arc AD+m Arc ]----> 360°- [98°+32°]---> 230°

the answer is
m Arc ABC = 230°

3 0
4 years ago
Read 2 more answers
A food truck owner has determined that her maximum revenue occurs when she sells 950950950sandwiches per month. For every sandwi
ss7ja [257]
Maximum revenue happens when 950 sandwiches are sold. When more or less sandwiches are sold revenue decreases by a constant amount.

We are told that revenue decreased by $45. We can use this information to calculate the amount of sandwiches.

number_of_sandwiches = total_revenue_change / revenue_change_per_sandwich

number_of_sandwiches = $45 / $0.10
number_of_sandwiches = 450

Number of sold sandwiches is either 450 more or 450 less than the amount of maximum revenue.
Possible numbers of sold sandwiches are:
number = 950 - 450 = 500
number = 950 + 450 = 1400
3 0
3 years ago
Find the area of each rectangular prism. Pls help
Semmy [17]

300.75 you need to find the length, width, and height. then multiple everything together and then by 2

7 0
3 years ago
15% of the apples in a crate are rotten. There are 12 rotten apples in the crate.
Svetradugi [14.3K]
There are a total of 80 apples in the crate. 

Hope this helps!:)
8 0
4 years ago
Read 2 more answers
A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on red side up 22 times. Wha
AnnZ [28]

Answer:

The correct answer is:

44% (B.)

Step-by-step explanation:

number of times flipped = 50 times

number of times red landed face-up = 22 times

∴ frequency of chip landing with red side face up = (number of times red landed face-up) ÷ (number of times flipped) × 100

= (22 ÷ 50) × 100 = 44%

8 0
3 years ago
Other questions:
  • Vertex of the following quadratic function Y=3(x-5)^2+6
    6·2 answers
  • Write a two-column proof for the following conjecture.
    11·2 answers
  • Del has 27 marbles. he plans to divide them up amongst three friends. How many marvels would each friend get
    6·2 answers
  • Ryan buys 3 heads of garlic at $0.50 per head. He also buys 2 pounds of zucchini. If he spends $4.10 on the vegetables, how much
    15·2 answers
  • Solve for W!<br> W - 2.76 = 6.7
    6·2 answers
  • Simply this expression
    5·1 answer
  • Figure PQRST is the image of figure ABCDE. Which pair of sides are corresponding sides?
    11·1 answer
  • What is the answer to number 3?
    14·1 answer
  • Pls help me pls....
    6·1 answer
  • Help! this is due in 2 hoursssss
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!