There are infinitely polynomials of order 3 that will give these as the first three numbers and any one of these could be "the" rule. There are 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.
For example,
t(n) = (-7n^3 + 42n^2 - 65n + 36)/6 gives the sequence 1, 3, 5, 0, ...
t(n) = -1n^3 + 6n^2 - 9n + 5 gives the sequence 1, 3, 5, 1, ...
t(n) = (-1n^3 + 6n^2 - 5n + 3)/3 gives the sequence 1, 3, 5, 5, ...
t(n) = (31n^3 - 186n^2 + 345n - 188)/2 gives the sequence 1, 3, 5, 100, ...
Each one is a valid answer!
The simplest solution, based on a polynomial or order 1 is
t(n) = 2n - 1 for n = 1, 2, 3
8
The number which best completes the sequence below is:1 1 3 2 4 6 5 25 ?
The sequence is 1,2,3,5,8,13,21.......8 is the missing number. This is known as a Fibonacci Sequence. The first two numbers are supplied and then further numbers in the sequence are formed from the sum of the two prior numbers. 3 = 1 + 2 5 = 2 + 3 8 = 3 + 5.....and so on.
Each number is being added to the one before it. So, 5+3=8. 8 is the next number.
7
In a number sequence, the number between 1 and 5 is 3.
The next number in the sequence is 6. The sequence alternates between adding 3 and subtracting 1 from the previous number.
The Fibonacci sequence is a sequence of numbers where each number in the sequence is the sum of the two numbers right before it. for example: 11235812 <-------Fibonacci Sequence 1 1+1=2 1+2=3 2+3=5 3+5=8 5+8=12
144 The sequence goes by adding the number plus the number before it to get the next number: 1+1=2 1+2=3 2+3=5 3+5=8...
1+1=2 : 1+2=3 : 2+3=5 : 3+5=8Therefore the next number is 8
8
Fibonacci sequence Fibonacci sequence
The number which best completes the sequence below is:1 1 3 2 4 6 5 25 ?
For an integral sequence the next number is 6 (add 5 subtract 7 pattern).
The sequence is 1,2,3,5,8,13,21.......8 is the missing number. This is known as a Fibonacci Sequence. The first two numbers are supplied and then further numbers in the sequence are formed from the sum of the two prior numbers. 3 = 1 + 2 5 = 2 + 3 8 = 3 + 5.....and so on.
27
21