16 is the next squared number.
The next number is 4, followed by -2
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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.
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 sequence indicates that one number is added to the previous number to find the value of the next number. Example 1 (+0) - 1 (+1) - 2 (+1) - 3 (+2) - 5 (+3) - 8 (+5) - 13. The next number in the sequence would be 21 (13 + 8).
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 sequence is generated using cubes, or n^3. The next number in the sequence will be 4^3, or 256.
The next four number in the sequence are... 4,5,5 & 6
25 is the next number that appears in that sequence.