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
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account pay
LenaWriter [7]

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745  = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

6 0
3 years ago
Read 2 more answers
The matrix below represents a system of equations.
UkoKoshka [18]

Answer:A

Step-by-step explanation:

just took it

7 0
2 years ago
8th grade - geometry
Cloud [144]
What are you trying to prove here? I know when step will be the use of the Transitive Property. If a=b, and b=c, then a=c.
8 0
3 years ago
X
Travka [436]

Answer:

Are we human, or are we dancer

Step-by-step explanation: this is an answer your teacher would love trust me ;)

6 0
3 years ago
You and two friends eat at a restaurant and split the bill evenly. The food bill is $20.88. Sales tax is 5%. You leave a %20 tip
poizon [28]

Answer:

26.31

Step-by-step explanation: i think..

8 0
3 years ago
Other questions:
  • Algebra question.......
    11·2 answers
  • Please help me thank you guys for all of the help​
    13·2 answers
  • Brailliest+46 pts
    9·1 answer
  • Which value of K will make x^2-1/4x+k a perfect square trinomial?
    9·1 answer
  • What is y intercept?​
    12·2 answers
  • At a sale, dresses were sold for $22 each. This price was 55% of a dress's original price. How much did a dress originally cost?
    5·2 answers
  • Select the correct answer.
    10·2 answers
  • Pls help me with this one​
    13·1 answer
  • Name the Property of Congruence that justifies the statement : If segment EF is congruent to segment GH then segment GH is congr
    6·1 answer
  • Find the slips of the following line: <br> 3x+5y=-20
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!