its the Fibonacci sequence
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β 12y agoThe spacing is 6 1+6=7 7+6=13 13+6=19 19+6=25 so the missing number in the sequence is 13
Fibonacci sequence Fibonacci sequence
8 and 34 Alterative answer: Convensionally, the Fibonacci sequence starts with two 1s. So 1 and 8 are missing.
arithmetic
Usually a sequence is written using subscripts to represent a number in the sequence. Example: The sequence 1, 7, 13, 19, 25 is by adding six each time. So we can write it as: a_0 = 1 a_1 = 7 a_(n) = a_(n-1) + 6, where n is the subscript.
Fibonacci Sequence
1, 1 are the first two numbers in the sequence; so, that's where you begin. In the Fibonacci sequence, you add numbers. Each sum is added to the previous largest number, to make the next number in the sequence. So, adding the first two numbers; 1 + 1 = 2. Then, as 2 was the resulting sum; and one was the last largest number, you add them. 1 + 2 = 3. And so on... The first ten numbers in the sequence are; 1, 1, 2, 3, 5, 8, 13, 21, 34, 55. It continues like this, indefinitely.
13, 21 - it is the Fibonacci sequence
Paris - 1979 America the Beautiful 1-13 was released on: USA: 1980
The next number in this sequence is 18. You're adding 1 to the difference of the previous two numbers. 4-3=1, 6-4=2 etc... so 18-13=5. The sequence is t(n) = 0.5*(n2 - n + 6) where n = 1, 2, 3, ... It is, of course, easy to find polynomials of order 3 or higher that would fit the sequence.
18
10 (between 7 and 13)
1 5 9 13 17 21
1, 1, 2, 4, 7, 13, 24, 44... You add the last 3 numbers of the sequence together.
This is called the Fibonacci sequence. The last two numbers in the sequence are added together to produce the next. Therefore, following 8 and 13 are: 8 + 13 = 21 13 + 21 = 34 21 + 34 = 55 34 + 55 = 89 55 + 89 = 144
13 This is because each term of the sequence is determined by adding the 2 previous terms of the sequence. This particular sequence is called the Fibonacci Sequence, and has special properties. See related link.
5, 11, 17