Look at the following pattern :12 = 1 112 = 121 1112 = 12321; 11112

1.	Look at the following pattern :12 = 1 112 = 121 1112 = 12321; 11112 = 1234321 111112 = 123454321 Make a conjecture about each of the following 1111112 = 11111112 = Check if your conjecture is true.
Answer» 111111² = 12345654321 1111111² = 1234567654321 (111………. n-times)² = (123 … (n- 1) n (n – 1) (n – 2) 1) The conjecture is true.

Look at the following pattern :12 = 1 112 = 121 1112 = 12321; 11112 = 1234321 111112 = 123454321 Make a conjecture about each of the following 1111112 = 11111112 = Check if your conjecture is true.

Answer»

111111² = 12345654321

1111111² = 1234567654321

(111………. n-times)² = (123 … (n- 1) n (n – 1) (n – 2) 1)

The conjecture is true.