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Q: What number is the next logical number in the following sequence of numbers 1 1 2 3 5 8 13?

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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.

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.

If they are the same numbers, it is that number if they are 2 different numbers, the median is the average of those 2 numbers ( the number directly in the middle of the 2 numbers )

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1,5,7,8 or 2,3,9,40 Any number which is middle number is 6. Not the mean though. It must be the mean of the numbers either side of the number you want. If you want 4 numbers, you need the 2 and a half number. For the 5 numbers you would chose the 3rd number

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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.

34. Each number is the sum of the two preceding numbers. This is called the Fibonacci Sequence.

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