119. un = (-n4 + 15n3 - 77n2 + 225n + 192)/6
107 double difference each time 2 + 7 = 9 9 + 7 + 7 = 23 23 + 14 + 14 = 51 51 + 28 + 28 = 107
It could be: 2*214 = 428
77040
Each number is multiplied by an incrementing value. 107 is multiplied by 2, 214 is multiplied by 3, 642 is multiplied by 4 and so on.
119. un = (-n4 + 15n3 - 77n2 + 225n + 192)/6
86 spell numbers out, last letter is first letter in next number. No cheating
The next number is 77040. Solution: 107 x 2 = 214x 3 = 642 x 4 = 2568 x 5 = 12840 x 6 = 77040
107 double difference each time 2 + 7 = 9 9 + 7 + 7 = 23 23 + 14 + 14 = 51 51 + 28 + 28 = 107
It could be: 2*214 = 428
103, 107, 111
There are infinitely many possible solutions. Given ANY number to be next in sequence, I can find a polynomial (of order 5) which will do the trick.The simplest polynomial isUn =(5563n4 - 50598n3 + 167717n2 - 229194n + 109080)/24 for n =1, 2, 3, ...and according to it, the next number is the sequence would be 43,842.There are infinitely many possible solutions. Given ANY number to be next in sequence, I can find a polynomial (of order 5) which will do the trick.The simplest polynomial isUn =(5563n4 - 50598n3 + 167717n2 - 229194n + 109080)/24 for n =1, 2, 3, ...and according to it, the next number is the sequence would be 43,842.There are infinitely many possible solutions. Given ANY number to be next in sequence, I can find a polynomial (of order 5) which will do the trick.The simplest polynomial isUn =(5563n4 - 50598n3 + 167717n2 - 229194n + 109080)/24 for n =1, 2, 3, ...and according to it, the next number is the sequence would be 43,842.There are infinitely many possible solutions. Given ANY number to be next in sequence, I can find a polynomial (of order 5) which will do the trick.The simplest polynomial isUn =(5563n4 - 50598n3 + 167717n2 - 229194n + 109080)/24 for n =1, 2, 3, ...and according to it, the next number is the sequence would be 43,842.
multiply by 1 higher number each time 214 / 107 = 2 642 / 214 = 3 2,568 / 642 = 4 12,840 / 2,568 = 5 so 6 x 12,840 = 77,040 next
77040
9-2=7, 23-9=14, 51-23=28, 107-51=56. therefore, since the next number in the sequence will be twice the previous difference, it will be 107+112 which is 219
77,040 That is correct, because... 107 x 2 = 214 214 x 3 = 642 642 x 4 = 2568 2568 x 5 = 12840 12840 x 6 = 77040
77040