Perfect Squares
(an x an+1)0x1=0
1x1=1 1x2=2 2x3=6 3x5=15 5x8=40 8x13=104 13x21=273 21x34=714 34x55=1870 |
(an x an+1) – (an x n-1)(0x1)-(0x-1)= 0-0=0
(1x1)-(1x0)=1-0=1 (1x2)-(1x1)=2-1=1 (2x3)-(2x1)=6-2=4 (3x5)-(3x2)=15-6=9 (5x8)-(5x3)=40-15=25 (8x13)-(8x5)=104-40=64 (13x21)-(13x8)=273-104=169 (21x34)-(21x13)=714-273=441 (34x55)-(34x21)=1870-714=1156 PatternRULE: (anxan+1) – (anxan-1)= A perfect square
|
Multiples
KeyMultiple of 2
Multiple of 3 Multiple of 5 Multiple of 8 PatternMultiple of 2 = Every 3rd Fibonacci Number
Multiple of 3 = Every 4th Fibonacci Number Multiple of 5 = Every 5th Fibonacci Number Multiple of 8 = Every 6th Fibonacci Number RULE: For each successive Fibonacci Number, the number of terms you must wait for there to be a multiple of it rises by 1 |
Fibonacci Number
|