natiabaysew
natiabaysew natiabaysew
  • 09-02-2021
  • Mathematics
contestada

Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts

Respuesta :

juhipatel
juhipatel juhipatel
  • 09-02-2021

Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

Answer Link
DWRead
DWRead DWRead
  • 09-02-2021
You cannot prove it, because it isn’t true. 1+2+3+4+5 = 15.
n+(n+1)+(n+2)+(n+3)+(n+4) = 5n+10 = 5(n+2)
Answer Link

Otras preguntas

Which sentence uses correct punctuation? My mother always told me that, "slow and steady wins the race." My mother always told me that, "Slow and steady wins th
Why did Belgium lead Europe in adopting industrialization?
Solve the system, using substitution. Write the solution as an ordered pair (m,n). 2m-3n= 6, m= 3-2n.
What is the discriminant of 3x^2-10x=-2?
Train A leaves a station at 8:00 and travels at 100 km per hour towards the next city. One and a half hours later, Train B, an express, leaves the same station,
Given the function f(x) = x3 + x2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?
Which pair of words consists of antonyms? spurious; false eccentric; peculiar aloud; allowed ecstatic; depressed
Is this right? Solve the equation. Show your work. 45 = 3b + 69 45- -45 3b 24 3b 24/3 =8 b = 8
Please solve this equation 3(4-x)=5-6x+x What is x?
The ________ in literature is between the antagonist and another person or force. a. denouement b. procession c. conflict d. rising action