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
Please help first answer will be marked brainiest
Tresset [83]

Answer:

6x

Step-by-step explanation:

add sides up

5 0
3 years ago
Lines l and m are parallel. Parallel lines l and m are cut by transversals s and t. Clockwise from top left, the angles formed b
denis-greek [22]

Answer:

25 degrees

Step-by-step explanation:

In the picture attached, the lines and the angles are shown. There we can see that:

85° + 2x° + (x-10)° = 180°

75 + 3x = 180

x = (180 - 75)/3

x = 35°

∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:

∠3 = x - 10

∠3 = 35 - 10

∠3 = 25°

4 0
3 years ago
Read 2 more answers
48/64 Which choices are equivalent to the fraction below? Check all that apply. A. 8/6 B. 3/4 C. 6/8 D. 12/16 E. 9/12 F. 24/32​
irinina [24]

Answer:

B, C, D, F

Step-by-step explanation:

to simplify the fraction 48/64, you need to divide both the numerator and denominator by their common factors. B is correct since you can divide both by 16, C is correct since both are divisible by 8, D is correct since both are divisible by 4, and F is correct since both are divisible by 2. A, however, would be correct only if the fraction were 64/48 and E would only be correct if 9 was a factor of 48 and 12 was a factor of 64, however neither haev such factors.  

5 0
3 years ago
Read 2 more answers
Please need help please ,
Natali5045456 [20]

Answer:

your m0m

Step-by-step explanation:

because i said 88

8 0
2 years ago
What is the answer to -29 + 30?
Agata [3.3K]
I hope this helps you


--29+30


+1
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the ratio of the sides of triangle XYZ?<br> --&gt; can anyone solve this equation ?
    7·1 answer
  • Norachai and six of his friends went out to eat. They decided to split the bill evenly. Each person paid $9. What was the total
    5·1 answer
  • 6) The local bakery made a profit of $210 for each day
    5·1 answer
  • Find the exact value of cos 150 degrees and sin 150 degrees
    15·1 answer
  • Find the difference of the 2 prime numbers between 25 and 35​
    8·1 answer
  • A point (2,2) is rotated 180 what is the image point
    6·1 answer
  • a 30% sugar syrup is mixed with 10% sugar syrup.The result is 600 g of 15% sugar syrup. How many grams of each syrup are in the
    11·2 answers
  • What is the remainder when 12 345 x 54 321 is divided by 9?<br>1<br>2<br>3​
    15·2 answers
  • Help. Me.<br> Will give brainliest.<br> 60 POINTS
    6·2 answers
  • Simplify the expression:<br> 3x4+1=d
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!