Question

show that for every odd natural number n,

Answer 1

\[48|n^3+3n^2-n-3\]

Answer 2

\[| \] means divisible by

Answer 3

didn't you do this yesterday?

Answer 4

i think you solved it.

Answer 5

yes but we didnt get the slution

Answer 6

you got
8n(n+1)(n+2)

you need to show that this is always divisible by 48 ...or by 3 and 16

Answer 7

n(n+1)(n+2) <--- this is always divisible by 3

Answer 8

how,i can only show 8 not even 16

Answer 9

if you cut that out 8, you need to show that
n(n+1)(n+2) is always divisible by 2

Answer 10

and n(n+1) is always divisible by 2 ... this is more than sufficient.

Answer 11

so i am supposed to know these divisibility of 2,3

Answer 12

yep.

Answer 13

thanks can i post another one

Answer 14

show that n(n+1)(n+2) is always divisible by 6 ... sure you can.

Answer 15

three cnsecutive numbers always div by 2 and 3?

Answer 16

yes ... the product of three consecutive number is always divisible by both 2 and 3

Answer 17

THANKS CAN YOU LOOK AT THE OTHER ONE

Answer 18

PLS