18-04-2018
Mathematics

contestada

Prove that n^2 - n is divisible by 2 for every positive integer n.

Respuesta :

konrad509 konrad509

04-08-2018

[tex] n^2-n=n(n-1) [/tex]

[tex] n(n-1) [/tex] is a product of two consecutive numbers, one of which, must be even. Therefore the number is divisible by 2.

Answer Link

Otras preguntas

What is the acceleration of a 0.30 kilogram ball that is hit with a force of 25 N?

How do you write the expression without a fraction bar; a to the seventh/a to the tenth

Share £72 in the ratio 2:7

Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.

the square root of 49 equals

factor each polynomial 5xy-10x

How did the cotton gin change agriculture in the south?

A pelican consumes 33 1/3% of its body weight in one meal. Write this percent as a fraction in simplest form.

what is it called when the air particles bunch up

how do i Subtract and simplify: (11x2 + 7) – (6x2 + 3x – 3)