Look at the following pattern:
`1^(2) = 1`
`11^(2) =121`
`111^2 = 12321`
`1111^(2)=1234321`
`11111^2 = 123454321`
Make a conjecture about about each of the following :
` 111111^2=..............`
` 1111111^2=...........`
Check if your conjecture is true .