avsingh
avsingh avsingh
  • 14-09-2019
  • Mathematics
contestada

Show that any positive integer is of the form 3q or 3q+1 or 3q+2 for some integer q.

Respuesta :

simmi20
simmi20 simmi20
  • 14-09-2019
Euclid's Division Lemma : For any two positive integers a and b, there exists two unique integers q and r such that a = bq + r, 0 r < b.
If we take b = 3, the possible values of r will be 0, 1 and 2
Hence, either a = 3q or a = 3q + 1 or a = 3q + 2.
Answer Link

Otras preguntas

Atticus says that country people, like the Cunninghams, were hit the hardest by "the clash". To what is he referring? Why would country people be the ones to su
which of the following means that the health science professional can understand and identify with others reliability competence confidentially empathy
Explain why different surfaces have different albedos.
Which of the following words best completes the sentence? I'll ___ up my legs so you can vacuum. rise raise
Is the prime factorization of 36 2x2x9?
Question attached! Please help!
Steven’s mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of su
Determine whether the following signals are energy signals, power signals or neither
Why successive electrons require more energy for its removal?
Which word is correctly used in the sentence? His pants were too _______ on him. lose loose