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
gtnhenbr [62]
3 years ago
15

Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Mathematics
2 answers:
Ierofanga [76]3 years ago
6 0

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

  • a = 1
  • b = 2
  • Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

aev [14]3 years ago
3 0

Refer to the attachment

You might be interested in
Is -2/3x - 2 equivalent to -2/3x + (-2)?
adell [148]

Answer: Yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The vertices of AXYZ are X(-4, 7), Y(0, 8), and Z (2, -1).
scoray [572]

Answer:

Step-by-step explanation:

i think it true if right mark me as brainiest and thank

4 0
3 years ago
What is the value of this expression when f = 4?
ehidna [41]
Ok I got you First Distribute 9(3 f +2)-7f

27 f +18 -7f

Step 2 combine like terms

Step 3 common factor
Answer: 2(10 f + 9)
4 0
2 years ago
Please help me solve this question:)​
omeli [17]

Answer:

The answer would be a=2.

Step-by-step explanation:

Since both sides of the equation are being multiplied by b then you would divide both of them by B. This will just remove the B from the equation entirely and leave you with a=2. I hope that this was helpful.

6 0
3 years ago
Read 2 more answers
What is 35 percent of 70
11111nata11111 [884]
35 Percent of 70 is 24.5
We assume, that the number 70 is 100% - because it's the output value of the task. We assume, that x is the value we are looking for. If 70 is 100%, so we can write it down as 70=100%. We know, that x is 35% of the output value, so we can write it down as x=35%. <span>Now we have two simple equations: 1.)70=100% 2.)x=35%</span>where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 70/x=100%/35% Now we just have to solve the simple equation, and we will get the solution we are looking for.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Mrs. Thomas bought a bed for $1,548 and three armchairs. The bed cost 4 times as much as one armchair. How much did Mrs. Thomas
    8·2 answers
  • Value chart of 861/4
    5·1 answer
  • Can someone please help me?
    11·2 answers
  • Can someone please help !!!!
    5·1 answer
  • There were 460 people at a local football game. 3/5 of them were students how many people that attended the football game were s
    9·1 answer
  • Write the equation of the line that passes through the points (2,-6)and (-2,-4).Write the equation in slope intercept form
    15·1 answer
  • There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.
    12·1 answer
  • Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainlies
    10·2 answers
  • How large an equilateral triangle can you fit inside a 2-by-2 square?
    11·1 answer
  • Box a has a volume of 32 cubic meters. box b is similar to box a. to create box b, box a's dimensions were tripled. what is the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!