the sum of r recursive positive integers will be divisible by 2 if r is a multiple of?

Question

anonymous · Answer

??? @ganeshie8

ganeshie8 · Answer

what is a `recursive positive integer` ?

ganeshie8 · Answer

do u have any definition ?

anonymous · Answer

no i have no idea!!

ganeshie8 · Answer

r consecutive positive integers :

a, a+1, a+2 ... a+r-1

ganeshie8 · Answer

their sum :

ra + r(r-1)/2

ganeshie8 · Answer

clearly one of r or r-1 is odd, so r needs to be a `multiple of 4` for the sum to be divisible by 2

anonymous · Answer

how do you know r is consecutive integer? because the question said recursive?

ganeshie8 · Answer

haha i had just changed the question :P

ganeshie8 · Answer

Above solution is for this question : 
the sum of r consecutive positive integers will be divisible by 2 if r is a multiple of?

anonymous · Answer

is consecutive and recursive different?

ganeshie8 · Answer

I don't know what a recursive number means... @mukushla

anonymous · Answer

let me search about it !!

ganeshie8 · Answer

then im sure the question has a mistake - it must be `consecutive` only  :)

anonymous · Answer

right

ganeshie8 · Answer

ty :) @dinisha  check it with your teacher...  it has to be `consecutive`... there is no such thing as recursive number... come back beat mukushla if ur teachers says otherwise :P

anonymous · Answer

hahahaha will be back after confirming.. anyways thank u @ganeshie8 and @mukushla !!