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, ...
what are the next numbers in the pattern 1, 2, 3, 5, 8, 13,_,_
Add the previous 2 numbers to get the next number.
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.
A Fibonacci pattern always begins with two numbers you choose (usually begins with 0 and 1, but can begin with any two numbers you choose). The third number in the sequence is found by adding the previous two numbers. This pattern continues until you choose to stop.EXAMPLE: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc.EXPLAINED: 0, 1, (0+1=1), (1+1=2), (1+2=3), (2+3=5), (3+5=8), (5+8=13), (8+13=21), (13+21=34), etc.
The next number is 13, the total of the two numbers preceding it.
what are the next numbers in the pattern 1, 2, 3, 5, 8, 13,_,_
12 ****************************** 11, 16, 22 are the 3 numbers continuing the pattern.
Add the previous 2 numbers to get the next number.
You add the 2 numbers before e.g. 2+3=5
81 then 243
It is a pattern. Go up two numbers, go down two numbers.
The factors of these numbers are: 1 1, 2 1, 3 1, 2, 3, 6 1, 3, 9
Yes. For example, the average of the numbers 1, 2, and 3 is 2. 1+2+3=6 6/3=2
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.
A Fibonacci pattern always begins with two numbers you choose (usually begins with 0 and 1, but can begin with any two numbers you choose). The third number in the sequence is found by adding the previous two numbers. This pattern continues until you choose to stop.EXAMPLE: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc.EXPLAINED: 0, 1, (0+1=1), (1+1=2), (1+2=3), (2+3=5), (3+5=8), (5+8=13), (8+13=21), (13+21=34), etc.
The numbers are 1, 2, 3, 6.
The next number is 13, the total of the two numbers preceding it.