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]
2 years ago
7

What is sum of all odd numbers between 100 and 200

Mathematics
1 answer:
makkiz [27]2 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
40. What is the system of inequalities associated with the following graph?
SpyIntel [72]

Answer:

The bottom answer

Step-by-step explanation:

4 0
3 years ago
Reflect the point (8,-7) across the x-axis
skelet666 [1.2K]

Answer:

Hrubecct u n

Step-by-step explanation:

Jdbheikng

3 0
2 years ago
Read 2 more answers
How do you write 36/100 as a fraction in simplest form?
maks197457 [2]

Answer:

Step-by-step explanation:

8 0
2 years ago
Point T' has coordinates (-3, 4). If it was translated up 3 units, what were the coordinates of its pre-image?
MrMuchimi
Translation refers to a rigid motion or transformation where you move an object from one location to another. 
Translations are base on the rule (x,y) -- (x+a, y+b) where the words right and left represent the change in the x-axis, and the words up and down the change in the y-axis.

In this exercise it is asked you to find the coordinates of the preimage of point T', which has the coordinates (-3,4) and is the effect of a translation of 3 units up. As previous said, the words up and down represent a change on the y-axis, meaning that the y-coordinate is the one that should be changed.

If the translation from the preimage to the image was 3 units up, then the preimage can be found by subtracting three units.
Pre-image: (-3,4-3)= (-3,1)

The point that represents the coordinates of the pre-image is (-3,1).
6 0
3 years ago
Read 2 more answers
What is the quotient
ratelena [41]

Answer:

3

Step-by-step explanation:

Flip the second fraction and multiply.

3 0
2 years ago
Other questions:
  • Suppose LMN=PQR<br> Which congruency statements are true
    7·1 answer
  • The following eight values represent the sale amounts over a one hour period: $10 $5 $60 $20 $15 $20 $9 $2. What is the median s
    6·1 answer
  • The surface area of an open-top box with length L, width W, and height H can be found using the
    8·1 answer
  • Can a rhombus be a kite? If so explain.<br> Is every quadrilateral a parallelogram? If so explain.
    15·1 answer
  • NEED HELP ASAP WILL GIVE MEDAL FOR CORRECT ANSWER
    14·1 answer
  • What is the slope of the line through (3, 3) and (0, 12)? Pls help due soon
    14·1 answer
  • Are (99 – 11 + 10g) - (12 - 119 + 13) and -3(-10g + 12) equivalent expressions? Explain.
    5·1 answer
  • Ummmmmmmmmm yeah helppppppppppp
    15·2 answers
  • HCF and LCM for 4 8 15<br>and example
    12·2 answers
  • Please help ill give whoever answers the best the brainliest answer :)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!