In applications such as reciprocal authentication and session key generation the requirement is not so much that the sequence of numbers be statistically random but that the successive numbers of the sequence are unpredictable. With true random sequences each number is statistically independent of other numbers in the sequence and therefore unpredictable.
2,4,8
No ! Fibonacci numbers are in a special sequence, omitting many other consecutive numbers in between that don't fit the Fibonacci series. Lotto number are random. The range of numbers differs in different 'lotto' lotteries. A national lotto, for example, may use only the numbers from 1 to 49. The numbers are chosen by a random process, perhaps by having a ball marked with each number. The balls are drawn at random. When five balls have been drawn, the five numbers, sorted into numerical order, lowest first, become the winning lottery 'number'. Another lottery may simply use a sequence of numbers generated randomly by a computer. Regardless of the method used to create the winning number, the Fibonacci series is totally irrelevant to the process and result.
The median of a set of numbers is the middle number when they are laid out in numerical order. When there is an even amount of numbers in the sequence like this one, there are two numbers in the middle. To find out the median from these two numbers, you just need to find the average of the two numbers. As the two numbers in the middle of this set of numbers is 53 and 54, the average is 53.5. This means that the median of this set of numbers is 53.5.
5
10
10
5
8
62
17?
6
The numbers are increasing by 1,4,9,16,25,36.... which are square numbers so the next increase is 49. Making the next number in the sequence 141
From the pattern (n + 4, n + 2, n + ?) I would say the next following number is 20 (n + 1).
A single number, such as 3773949588525642992, does not constitute a sequence.
5+5 = 10 10+5 = 15 15-5 = 15 10+5 = 15
34. Each number is the sum of the two preceding numbers. This is called the Fibonacci Sequence.