Math Number Sequence

Discussion in 'Discussion' started by Makalo, Mar 21, 2017.

Tags:
Thread Status:
Not open for further replies.
  1. Makalo

    Makalo Banned User

    Joined:
    Mar 20, 2017
    Messages:
    20
    Likes Received:
    6
    Best Answers:
    0
    I am learning or have learned a bit about squaring integers and discovered a pattern of odds numbers that increase by 2.
    I'll give an example
    Code (Text):
    1.  
    2. 1 x 1 = 1, 1 + 3 = 4 or 2 square
    3. 2 x 2 = 4, 4 + 5 = 9 or 3 square
    4. 3 x 3 = 9, 9 + 7 = 16 or 4 square
    5. 4 x 4 = 16, 16 + 9 = 25 or 5 square
    6. 5 x 5 = 25, 25 + 11 = 36 or 6 square
    7.  
    The interesting thing about this is any sequence i use such as 3, 6, 9, 12, 15
    Code (Text):
    1.  
    2. 3 x 3 = 9
    3.     difference between 9 & 36 is 27, ---- 9 x 3 = 27,
    4. 6 x 6 = 36
    5.     difference between 36 & 81 is 45, ---- 9 x 5 = 45,
    6. 9 x 9 = 81
    7.     difference between 81 and 144 is 63, ---- 9 x 7 = 63,
    8. 12 x 12 = 144
    9.     difference between 144 and next number is 81, ---- 9 x 9 = 81,
    10.  
    Now if I multiply the 27 x 3 i get the value of the square of the 3rd number in series which is 81 and the square root of 81 is 9.

    This "little" discovery works with just about any sequence of numbers from 1-100 of 1 count to multipliers of a specific number or even the odd number sequence.

    There is also another thing which I found a little strange, its like a times table chart.
    Code (Text):
    1.  
    2.      0   1   2
    3. 1   1   6   11
    4. 3   2   7   12
    5. 5   3   8   13
    6. 7   4   9   14
    7. 9   5  10  15
    8.  
    I thought I might be able to do something with the odd number sequence like I figured out how to square just about any number with a 5 in the ones place.
    Code (Text):
    1.  
    2. 12345 - 5 = 12340
    3. 12340 /  5 = 2468
    4. 2468 / 2 = 1234
    5. 1234 x 1235 = 1523990
    6. Then append 25 to the answer
    7. 12,345 squared is 152,399,025
    8.  
    Understandably we could have just multiplied 12345 x 12345 and gotten the answer, but when you write code you sometimes want to manipulate the process of a calculation.

    So I am curious if there is any special meaning mathematical or otherwise around this sequence of odd numbers?
     
  2. Lordfire

    Lordfire aka ranisalt

    Joined:
    Jul 16, 2008
    Messages:
    231
    Likes Received:
    93
    Best Answers:
    1
    Please mind you are writing:
    Which is the expanded form of:
    Substituting terms
    You didn't discover anything new, it's just calculus algebra (thanks @Damc) :)
     
    Makalo likes this.
  3. cbrm

    cbrm Just another mod Staff Member Global Moderator

    Joined:
    Jan 6, 2009
    Messages:
    6,529
    Likes Received:
    813
    Best Answers:
    0
    Nobody cares anyway.
     
    president vankk likes this.
Thread Status:
Not open for further replies.

Share This Page

Loading...