On the face of it, what's common between 2601 and 7056
- Both are perfect squares - 51 ^ 2 and 84 ^ 2
Beyond that there is something unique when you look closely at both the number and its square
Let's write it in this format
51 26 01 (51 ^ 2 => 2601)
84 70 56 (84 ^ 2 => 7056)
Now if you closely look at the number segment, two digits at a time, we can notice a pattern which is an Arithmetic progression
51-26=25
26-1 = 25
84-70= 14
70-56 = 14
Can you find any other square pair exhibiting a similar pattern?
Now here's some more work for the brain... The below number exhibits a slightly different pattern.
81 ^ 2 = 6561
81 65 61
81 - 65 = 16 => 4 ^ 2
65 - 61 = 4 => 4 ^ 1
Does it have a pair which shows a similar trend?
- Both are perfect squares - 51 ^ 2 and 84 ^ 2
Beyond that there is something unique when you look closely at both the number and its square
Let's write it in this format
51 26 01 (51 ^ 2 => 2601)
84 70 56 (84 ^ 2 => 7056)
Now if you closely look at the number segment, two digits at a time, we can notice a pattern which is an Arithmetic progression
51-26=25
26-1 = 25
84-70= 14
70-56 = 14
Can you find any other square pair exhibiting a similar pattern?
Now here's some more work for the brain... The below number exhibits a slightly different pattern.
81 ^ 2 = 6561
81 65 61
81 - 65 = 16 => 4 ^ 2
65 - 61 = 4 => 4 ^ 1
Does it have a pair which shows a similar trend?
