Answered

IDNStudy.com, ang iyong gabay para sa maaasahan at mabilis na mga sagot. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

IF m^2+1 is even then 2n+m is odd. use direct proof

Sagot :

Pathogenicidn
First, it's important to know that 1. Odd + odd = even ex. 1+1=2 2. 2 times any counting number is equal to even ex. 1 x 2 = 2 3. Even + odd = odd ex. 2+1=3 Then we can say that m^2 is odd because if it is added to 1, the result is even (as shown in number 1) And because m^2 is odd, then m is odd because it sqaure root will not result to even when the square is odd. Therefore we can say that 2n+m is odd because 2n is even (example #2) and adding odd to that will result in an odd number (#3 example).
Jeremiaidn
2n + m is odd because in m^2 + 1, it is said to be even so if you remove the one, the resulting term which is m^2 will be odd so as its square root m. That means, m is odd and if it is added to 2n which is even because any number multiplied by 2 willl be eventhen 2n + m is odd becausea number + odd yields odd.