Question

Show that no number in the sequence 11, 111, 1111, 11111........
is a perfect square.​

Answer 1

Answer:

11, 111, 1111, 11111 can this sequence contain a square number? No, as all these numbers give the remainder 3 when divided by 4. As a square can't be congruent to 3 mod 4, this series will never contain a square.