Ok here goes some of the observations for my earlier post - Blog #62 - Is there a unique pattern about the following sequence? 1024, 2401, 4096, 9604
a) All of them are squares and that's a bit obvious - 32, 49, 64, 98 b) Look at the pair - 1024 and 2401 - The digits have been swapped (ABCD ---> CDBA) c) Now 4096 is 4 times 1024 and 9604 is 4 times 2401 - This pair also exhibits the same attributes - ABCD ---> CDBA d) Now the most interesting behaviour of all when these pairs are multiplied by 16
1024 x 16 = 16384 2401 x 16 = 38416
You would notice that the first 2 digits and the last 3 digits have been just swapped
4096 x 16 = 65536 9604 x 16 = 153664
This doesn't look straight-forward swap but when you look closer, 536 has been retained as-is and 65 has expanded as 6,4,1 (4 + 1 is 5!!!)
Ok here goes some of the observations for my earlier post - Blog #62 - Is there a unique pattern about the following sequence?
ReplyDelete1024, 2401, 4096, 9604
a) All of them are squares and that's a bit obvious - 32, 49, 64, 98
b) Look at the pair - 1024 and 2401 - The digits have been swapped (ABCD ---> CDBA)
c) Now 4096 is 4 times 1024 and 9604 is 4 times 2401 - This pair also exhibits the same attributes - ABCD ---> CDBA
d) Now the most interesting behaviour of all when these pairs are multiplied by 16
1024 x 16 = 16384
2401 x 16 = 38416
You would notice that the first 2 digits and the last 3 digits have been just swapped
4096 x 16 = 65536
9604 x 16 = 153664
This doesn't look straight-forward swap but when you look closer, 536 has been retained as-is and 65 has expanded as 6,4,1 (4 + 1 is 5!!!)