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
Jet001 [13]
3 years ago
12

The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive odd whole number?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

The series of odd numbers is:

1, 3, 5, 7, 9, 11, 13, ....

If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.

The formula for the sum of an Arithmetic Series is:

S_{n}=\frac{n}{2}(2a_{1}+(n-1)*d)

Here,

n = number of terms = 100

a₁ = first term = 1

d = Common Difference = 2

Using the values, we get:

S_{100}=\frac{100}{2}(2(1)+99*2)\\   \\  S_{100}=10000

Thus, the sum of first 100 positive odd whole numbers is 10,000.

You might be interested in
If the total cost C for p pounds of pepperoni if each pound cost 4.86
Marta_Voda [28]
Costs<span> $.59c(p) = .59p. C(p) has unit $/lbs, </span>p=<span>lbs</span>
3 0
3 years ago
Strategies that encourage to buy products include ___.
dimulka [17.4K]

Answer:

Offer lots of information. Consumers look for trustworthy, knowledgeable individuals to educate them on a purchase. .

Step-by-step explanation:

6 0
3 years ago
Read the caption please
ladessa [460]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
Triangle ABC was transformed to create triangle A'B'C'.
makkiz [27]

Answer:

The answer is F(x, y-7).

4 0
2 years ago
Read 2 more answers
Which one is it.<br>You can choose more than one.​
spayn [35]

Answer:

3 and 8

Step-by-step explanation:

6,240/3=2080

6,240/9=693.3333333.....

6,240/780

6 0
3 years ago
Read 2 more answers
Other questions:
  • Isaac wants the equation below to have no solution when the missing number is placed in the box.
    11·2 answers
  • Jakes has $20 to spend on notebooks and pencils the notebooks and pencils. the notebooks cost 3.25 and the pencils cost $.50 wha
    10·1 answer
  • Determine if the two triangles are congruent
    11·1 answer
  • HELP! plz worth 40 points if u help wit all of them. plzz due in 10 mins where I live.
    9·1 answer
  • Please explain this in steps please friends​
    7·1 answer
  • He equation shown below is true for what values of x 3(x - 2) + 2(x + 5) = 9x
    12·1 answer
  • Correct answer gets brainliest . Pay attention choose wisely .
    12·2 answers
  • NEED HELP ASAP PLS DONT SKIP GIVING BRAINLIEST <br><br><br>.​
    9·1 answer
  • PLS HELP I WILL MARK YOU THE BRAINLEST<br> Graph ​y&gt;1−3x.
    7·1 answer
  • Help with this math question
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!