Any number can be the next number. It is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question followed by the chosen next number. 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.
The simplest solution, based on a polynomial of order 4 is
t(n) = (-5n^4 + 58n^3 - 232n^2 + 371n -186)/6 for n = 1, 2, 3, ...
and accordingly, the next number is 44.
1
16 is the next squared number.
The next number is 4, followed by -2
In the traditional counting system, the number that comes before 1 is 0. In mathematics, numbers are typically ordered in a sequence, with each number having a specific position. In this sequence, 0 is considered the number that precedes 1.
Fibonacci found a way to present mathematical numbers so that each number in the sequence is the sum of the two previous numbers. For example, if the sequence starts at 0 and 1, then next number in the sequence is 1, the next number would be 2, and then the next number would be 3, and then 5.
To find the next number in the sequence -1, 8, 1, 4, 7, 0, 7, 0, we can observe the pattern in the differences between the numbers. The differences are: 9, -7, 3, 3, -7, 7, -7. The pattern suggests the next difference might continue with the established sequence, leading to 7 + (-7) = 0. Therefore, the next number is likely 0.
12110 0r 1210
A recursive sequence uses previous numbers to find the next number in a sequence after the base case. The Fibonacci sequence is an example of such a sequence. The base numbers of the Fibonacci sequence are 0 and 1. After that base, you find the next number in the sequence by adding the two previous numbers. So, the Fibonacci sequence looks like so: 0, 1, 1, 2, 3, 5, 8.... So, the third number is found by adding the first and second numbers, 0 and 1. So the third number is 1. The fourth number is found by adding the second and third numbers, 1 and 1. So, the fourth number is 2. You can continue on this way forever.
The answer is 21.Your numerical series is the beginning of a mathematical sequence called Fibonacci Numbers.The first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself (i.e. 0, 1, 1, 2, 3, 5, 8, 13, 21, etc.).
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
The next four number in the sequence are... 4,5,5 & 6
The sequence appears to involve a pattern where each number is derived from a combination of multiplication and addition. Starting from 1, the pattern is: 1 × 1 + 1 = 2, 2 × 2 + 1 = 5, 5 × 2 + 0 = 10, and 10 × 5 = 50. Following this pattern, the next number should be 50 × 5 = 250. Therefore, the next number in the sequence is 250.