Can We Predict the Next Number in This Sequence Using Rahmuss' Formula?

  • Thread starter ArielGenesis
  • Start date
In summary, the next numbers in the sequence are 870 and 1381. The pattern involves listing a group of numbers and finding the sum, and can be represented by a difference formula or a cubic polynomial.
  • #1
ArielGenesis
239
0
4
5
11
34
65
111
175
260
505
540
671

what is the next line
 
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  • #2
really no one got an idea ?
 
  • #3
Is the next number 802.
 
  • #4
ArielGenesis, maybe you can give any hint?
 
  • #5
my fault acually, but it is suppose to be
1
5
15
34
65
111
175
260
369
505
671

not much diffrent isn't it.
no neveza, it's not 802
the hint is that it involve listing a group of number and doing sum.
 
  • #6

1 = 1
5 = 2 + 3
15 = 4 + 5 + 6
34 = 7 + 8 + 9 + 10
65 = 11 + 12 + 13 + 14 + 15
111 = 16 + 17 + 18 + 19 + 20 + 21
175 = 22 + 23 + 24 + 24 + 26 + 27 + 28
260 = 29 + 30 + 31 + 32 + 33 + 34 + 35 + 36
369 = 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45
505 = 46 + 47 + 48 + 49 + 50 + 51 + 52 + 53 + 54 + 55
671 = 56 + 57 + 58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66
870 = 67 + 68 + 69 + 70 + 71 + 72 + 73 + 74 + 75 + 76 + 77 + 78
 
  • #7
4
5
11
34
65
111
175
260
505
540
671
1381

Is that anywhere close? You really don't want to know how my messed up mind found that answer though. It might make you go crazy... :biggrin:

Oopss! You posted another one...

1
5
15
34
65
111
175
260
369
505
671
870

Looks like that should be the answer for this second set of numbers.
 
Last edited:
  • #8
Wow! We got the answers a different way; but I'm sure that they equate.

I did it this way:

C = 6 9 12 15 18 21 24 27 30 ? [ Difference in #'s from B ]
B = 4 10 19 31 46 64 85 109 136 166 ? [ Difference in #'s from A]
A=1, 5, 15, 34, 65, 111, 175, 260, 369, 505, 671, ?

In C, the ? should, of course, be 33, which makes the ? in B = 199, which makes the ? in A = 870
 
  • #9
Rahmuss, your approach is systematic and works in a large number of cases of this kind of puzzle.
 
  • #10
sorry, it is my fault. and i yup, jimmy (as usual) got it right

can we form a formula based on rahmuss asnwer. as i also had not notice it. and how could it happen to be 3 if he is going to make D = 3,3,3,3,3,3,3 [diffrence in #'s from c]
 
  • #11
ArielGenesis said:
can we form a formula based on rahmuss asnwer.
One possible formula is this difference formula:
[itex]A_n = 3 \times A_{n-1} - 3 \times A_{n-2} + A_{n - 3} + 3;[/itex]

Another would be a cubic polynomial in n, but I haven't figured out the coefficients yet.
 

FAQ: Can We Predict the Next Number in This Sequence Using Rahmuss' Formula?

What is "Yet another number pattern"?

"Yet another number pattern" is a sequence of numbers that follows a specific rule or pattern, resulting in a predictable sequence of numbers.

Why do scientists study number patterns?

Scientists study number patterns to better understand the underlying principles and rules that govern the natural world. Number patterns can also be used to make predictions and solve real-world problems.

How can number patterns be used in scientific research?

Number patterns can be used in various scientific fields, such as mathematics, physics, and biology. They can help identify trends, make predictions, and test hypotheses.

What are some common types of number patterns?

Some common types of number patterns include arithmetic sequences, geometric sequences, and Fibonacci sequences. Each type follows a specific rule or pattern that determines the values in the sequence.

How can one identify the rule or pattern in a number sequence?

To identify the rule or pattern in a number sequence, one can look for recurring terms, calculate the differences between consecutive terms, or examine the ratios between terms. These methods can help determine the underlying rule or pattern in the sequence.

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