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There are infinitely many possible patterns.

One pattern is the polynomial or order 5:

t(n) = (-n^5 + 11n^4 - 75n^3 - 241n^2 - 344n + 192)/24 for n = 1, 2, 3, ...

There are also also non-polynomial solutions.

Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.

In fact, this is the Fibonacci sequence which is defined by:

t(1) = 1

t(2) = 2

and

t(n) = t(n-2) + t(n-1) for n = 3, 4, 5, ...

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Related Questions

Which 2 numbers come next in the pattern?

what are the next numbers in the pattern 1, 2, 3, 5, 8, 13,_,_


What 3 numbers are after this pattern 1 2 4 7?

12 ****************************** 11, 16, 22 are the 3 numbers continuing the pattern.


What is the rule to the pattern 112358?

The sequence 112358 follows the Fibonacci pattern, where each number is the sum of the two preceding numbers. Starting with 1 and 1, the next numbers are calculated as follows: 1+1=2, 1+2=3, 2+3=5, resulting in the sequence 1, 1, 2, 3, 5, 8. This pattern continues indefinitely.


What is the pattern rule for this pattern 1-1-2-3-5-8-13?

Add the previous 2 numbers to get the next number.


What is the pattern 1-1-2-3-5-8-13-21?

You add the 2 numbers before e.g. 2+3=5


What t 2 numbers come after the pattern 1 3 9 27?

81 then 243


What are the factors of the numbers 1 2 3 6 and 9?

The factors of these numbers are: 1 1, 2 1, 3 1, 2, 3, 6 1, 3, 9


Can the average of 3 numbers be one of those 3 numbers?

Yes. For example, the average of the numbers 1, 2, and 3 is 2. 1+2+3=6 6/3=2


What numbers evenly divided into 6?

The numbers are 1, 2, 3, 6.


What is 2 2 2 2 3 3 3 3 4 4 4 4?

It is a pattern. Go up two numbers, go down two numbers.


What are all the prime numbers from 1-3?

The prime numbers from 1 to 3 are 2 and 3.


Answer to number pattern 1 3 8 22 65 209 732?

The numbers are what you get when you make a sum of reciprocal exponents. N(1) = 1^1 = 1 N(2) = 1^2 + 2^1 = 1 + 2 = 3 N(3) = 1^3 + 2^2 + 3^1 = 1 + 4 + 3 = 8 N(4) = 1^4 + 2^3 + 3^2 + 4^1 = 1 + 8 + 9 + 4 = 22 The next number in the pattern would be 2780.