Question

how do i prove this is false? equation in comments

Answer 1

\[\sum_{x=1}^{n} x+1 =[\sum_{x=1}^{n} x] +1\]

Answer 2

well its true

Answer 3

lets prove it

Answer 4

wanna use direct proof ?

Answer 5

but if i say in is 3 or 4 they don't equal the same?

Answer 6

*n

Answer 7

wait wait
is it like this
\(\sum_{x=1}^{n}[ x+1] =[\sum_{x=1}^{n} x] +1\)

Answer 8

?

Answer 9

yes

Answer 10

ohh then its false :)

Answer 11

\(\sum_{x=1}^{n}[ x+1] =[\sum_{x=1}^{n} x] + \sum_{x=1}^{n} 1 =[\sum_{x=1}^{n} x] +n\)

Answer 12

so since its false sentense u only to show a counter example , and as u say when n=3
\(\sum_{x=1}^{3} x+1 =[\sum_{x=1}^{3} x] +1\)
but
\(9\neq 7\)

Answer 13

got it nw ?

Answer 14

yup. Thanks!

Answer 15

np :)