Next is 18.
The polynomial rule is
Un = (-5n4 + 74n3 - 301n2 + 478n - 24)/24 for n = 1, 2, 3, ...
The sequence provided is the Fibonacci sequence, where each number is the sum of the two preceding ones. In this case, after 1, 1, 2, 3, and 5, the next number is 3 + 5, which equals 8. Therefore, the next logical number in the sequence is 8.
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.
1+1=2 : 1+2=3 : 2+3=5 : 3+5=8Therefore the next number is 8
50
The sequence 0, 3, 8, 15 can be understood by observing that each term can be expressed as (n^2 - 1), where (n) is the position in the sequence starting from 1. For example, (1^2 - 1 = 0), (2^2 - 1 = 3), (3^2 - 1 = 8), and (4^2 - 1 = 15). Following this pattern, the next term for (n = 5) would be (5^2 - 1 = 24). Thus, the next number in the sequence is 24.
The sequence provided is the Fibonacci sequence, where each number is the sum of the two preceding ones. In this case, after 1, 1, 2, 3, and 5, the next number is 3 + 5, which equals 8. Therefore, the next logical number in the sequence is 8.
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.
1+1=2 : 1+2=3 : 2+3=5 : 3+5=8Therefore the next number is 8
50
13, 21 - it is the Fibonacci sequence
7, 2, -1, -2, -1 the next number in the sequence is 2. A constant difference of -5 is applied at each step with multiples of 2 increasing by 1 at each step being added. 7 - 5 + 0x2 = 2 2 - 5 + 1x2 = -1 -1 -5 + 2x2 = -2 -2 -5 + 3x2 = -1 -1 -5 + 4x2 = 2 2 - 5 + 5x2 = 7
21
21. Add the last 2 numbers to get the next.
15
26
27
27