04-24-2003, 11:31 PM
To answer Rush's trivia...and no, i didn't look at any solutions (if any) posted...
but filling in the blanks...
(1): 13 // it's just a fibonacci sequence
(2): 65536 // 2^(2^4) ... notice the previous was 2^(2^3)
(3): 31 // just days in the month starting from january...notice it's not a leap year...
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the following problem is kinda fun...
define the triangular numbers as the following:
1, 3, 6, 10, ... etc...
define the square numbers as the following:
1, 4, 9, 16, ... etc...
now show that each square number is the sum of two consecutive triangular numbers.
in other words, show it for ALL cases. Hint: try to find equations that generate triangular and square numbers. if you can solve rush's numeric series...you can do this.
but filling in the blanks...
(1): 13 // it's just a fibonacci sequence
(2): 65536 // 2^(2^4) ... notice the previous was 2^(2^3)
(3): 31 // just days in the month starting from january...notice it's not a leap year...
*********************************************************************
the following problem is kinda fun...
define the triangular numbers as the following:
1, 3, 6, 10, ... etc...
define the square numbers as the following:
1, 4, 9, 16, ... etc...
now show that each square number is the sum of two consecutive triangular numbers.
in other words, show it for ALL cases. Hint: try to find equations that generate triangular and square numbers. if you can solve rush's numeric series...you can do this.