Number sequence

[Turtle]

Turtle is it 294?

 

I think it only fair I now require a justification for an answer before I assert its correctness, inasmuch as the range of answers is small. :hyper: This isn't The Price is Right after all.:esmoking:

[anto]

Truth is I did guess :esmoking:. I need to go right now but ill find out if its either 288, 294, 300, 306, or 312

[CraigD]

Just b/c I feel like it Ill give one of the answer I came up with..which of course was wrong, but I just want to share one of the ideas I had

…

finally I found something ion common between the differences (need to multiply times negative three to get the next term) so multiplying by negative three and doing the math you get 125 which is of course, wrong

I don’t understand how you decided on 125.

 

You got this difference table for the given sequence

 1 2 4 8 15 30  50 100
  1 2 4  7 15  20  50
    1 2  3  8   5  30
      1  1  5  -3  25
         0  4  -8  28
            4 -12  36
              -16  48
                   64

The difference table for the sequence extended by a 125 is

 1 2 4 8 15 30  50 100  125
  1 2 4  7 15  20  50   25
    1 2  3  8   5  30  -25
      1  1  5  -3  25  -55
         0  4  -8  28  -80
            4 -12  36 -108
              -16  48 -144
                   64 -192
                      -256

I don’t see a pattern, or understand what you mean by multiplying by -3 to get the next term.

 

Help, please!

 

PS: notice how wrapping tables done in a fixed-width font in code tags (# on the edit toolbar) can display them nicely.

[anto]

couldnt figure out how to do them nicely:)

 

Ok so my last line was 4 (-12) and 36 so the next term is -108

 

28 + -108 is -80

 

25 plus -80 is -55

 

30 + -55 is -25

 

50 + -25 is 25

 

100 + 25 is 125

 

 

Here is the complete table

 

1 2 4 8 15 30 50 100 125

 

1 2 4 7 15 20 50 25

 

1 2 3 8 5 30 -25

 

1 1 5 (-3) 25 -55

 

0 4 (-8) 28 -80

 

4 (-12) 36 (-108)

[anto]

sorry bill the answer isnt 147 :hyper:

[TheBigDog]

sorry bill the answer isnt 147 ;)

Back to the drawing board... :shade:

 

OK Hypographers, I have a pattern too...

 

2, 3, 4, 5, 5, 7, 6, 6, 7

 

I need to next 9 numbers to declare a winner.

 

Bill

[max4236]

Is it this sequence? When I factored all the numbers into a product of primes, I get some kind of funky pattern going on. I like the symmetry to it anyway. Thought I'd seen this before somewhere, just thought I ought to throw it out there.

 

1         11 11      1,2,3,5  
2         12 11 
4         12 12   
8         22 12  
15        11 35
30        12 35  
50        12 55  
100       22 55  
49        11 77      7,11,13,17 
98        12 77 
154       12 7(11)
308       22 7(11)
221       11 13(17)
442       12 13(17)
578       12 17(17)
1156      22 17(17)
361       11 19(19)  19,23,29,31
722       12 19(19)
874       12 19(23)
1748      22 19(23)
899       11 29(31) 
1798      12 29(31)
1922      12 31(31)
3844      22 31(31)
 

[pgrmdave]

What if it's not a mathematical series? There are plenty of numeric series that aren't based on mathematics, perhaps we're making it too difficult for ourselves.

[anto]

well maybe..Ive basically almost given up on this

[max4236]

1 tsp salt

2 tbs vanilla

4 eggs

8 cups of sugar

15 cups of flour

30 pecans chopped

50 raisins

100 chocolate chips

64 tbs butter

18 mins at

350 degrees F?

 

I'd really like to know what the next number is, this thing haunts me at night..

[anto]

ok new tip:

 

the number has to be less than 100. LolI dont even know if this helps or not

[anto]

Cmon people have we given up?? We now know it has to be less than 100, so our approach to it may change a bit.

[TheBigDog]

Cmon people have we given up?? We now know it has to be less than 100, so our approach to it may change a bit.

I can't find a solution that fits all the criteria. I am interested to see what the answer is, because the criteria of being something a 5th grader could do with their basic understanding of math rules out complex or abstract solutions.

 

It is time for your source to put up or admit it is an exercise of futility to get people to think about math.

 

Bill

[anto]

Bill, knowing him i am 100% sure there is an answer. So yeah its obviously very complex in its simplicity I guess b/c you only need to use basic math to get to an answer and still it seems almost impossible to get one. However, even though something is difficult doesnt make it impossible.

[pgrmdave]

I don't believe that there is a mathematical relationship that will lead you to an answer. Can we think of any other relationship between the numbers?

[haloman]

Mabey it just starts over as 1 or the mean wich is 24.375 but it still dosent make any sense:shrug:

[anto]

oh guys I totally forgot to mentions this..Due to pgrmdave's post I talked to my calc teacher about the answer. He admitted that the answer is not PURELY mathematical, meaning the numbers can be applied to something else, he said something about it being applied to a social medium or something..

 

ok so lets start thinking about how to relate these numbers to something not related to math.

 

I know this is frustrating..:shrug: