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Given ANY number, it is easy to find a polynomial of order 4 that will generate the above four numbers and the selected fifth.
The simplest polynomial or order 3 that will generate the above numbers is
Un = (-53n3 + 399n2 - 880n + 552)/6 for n = 1, 2, 3, ... and accordingly, the next number is -83.
What else can I help you with?
What's the next number in the pattern 4 12 36 and 108?
The next number in the pattern is 324. Each number in the pattern is obtained by multiplying the previous number by 3.
What is next in pattern 3 -6 12 4 20?
The given pattern appears to alternate between two sequences: one sequence that doubles the previous number (3 to 6 to 12) and another that adds 1 to the previous number (4 to 20). Following this pattern, after 20, the next number in the doubling sequence would be 24, as it continues from 12. Thus, the next number in the pattern is 24.
What is the next number 3-6-12-21?
The pattern in the sequence 3, 6, 12, 21 can be identified by examining the differences between consecutive terms: 6-3=3, 12-6=6, and 21-12=9. The differences (3, 6, 9) are increasing by 3 each time. Continuing this pattern, the next difference would be 12 (9 + 3). Therefore, the next number in the sequence is 21 + 12, which equals 33.
How would you identify and extend the pattern to find the next number in this sequence 3 12 48 192?
To identify the pattern in the sequence 3, 12, 48, 192, we can observe that each number is multiplied by an increasing factor: 3 × 4 = 12, 12 × 4 = 48, and 48 × 4 = 192. Hence, the pattern involves multiplying each term by 4. To find the next number, we multiply 192 by 4, resulting in 768. Thus, the next number in the sequence is 768.
What number comes next 2 7 8 3 12 9?
To find the next number in the sequence 2, 7, 8, 3, 12, 9, we can look for a pattern. The odd-indexed numbers (2, 8, 12) increase by 6 each time, while the even-indexed numbers (7, 3, 9) alternate between decreasing and then increasing. Following this pattern, the next odd-indexed number after 12 would be 12 + 6 = 18. Therefore, the next number in the sequence is 18.
What's the next number in the pattern 4 12 36 and 108?
The next number in the pattern is 324. Each number in the pattern is obtained by multiplying the previous number by 3.
What number comes next in this pattern 0 1 3 7?
12
Which number is next in the pattern 972 324 108 36?
3
How would you identify and extend the pattern to find the next number in this sequence 3 12 48 192?
To identify the pattern in the sequence 3, 12, 48, 192, we can observe that each number is multiplied by an increasing factor: 3 × 4 = 12, 12 × 4 = 48, and 48 × 4 = 192. Hence, the pattern involves multiplying each term by 4. To find the next number, we multiply 192 by 4, resulting in 768. Thus, the next number in the sequence is 768.
What number comes next 2 7 8 3 12 9?
To find the next number in the sequence 2, 7, 8, 3, 12, 9, we can look for a pattern. The odd-indexed numbers (2, 8, 12) increase by 6 each time, while the even-indexed numbers (7, 3, 9) alternate between decreasing and then increasing. Following this pattern, the next odd-indexed number after 12 would be 12 + 6 = 18. Therefore, the next number in the sequence is 18.
What is the next pattern -5 -2 4 13?
The next number could be 25. +3, +6, +9, +12 etc.
What comes next 18 4 13 6 in the pattern?
The pattern alternates between two sequences: one decreasing by 1 (18, 13) and the other decreasing by 2 (4, 6). Following this pattern, the next number after 6 should be 3 (6 - 3), and the next number after 13 should be 12 (13 - 1). Thus, the next two numbers in the sequence are 12 and 3.
What is the next number in this pattern 5871091211?
5 8 7 10 9 12 11 14 The pattern is +3, -1, +3, -1, +3, -1, +3
What is the next number for 40 42 21 24 8 12 3?
To identify the next number in the sequence 40, 42, 21, 24, 8, 12, 3, we can observe a pattern in the pairs: 40 to 42 (add 2) 42 to 21 (divide by 2) 21 to 24 (add 3) 24 to 8 (divide by 3) 8 to 12 (add 4) 12 to 3 (divide by 4) Following this pattern, the next operation should be to add 5 to 3, resulting in 8. Thus, the next number is 8.
What the next number in pattern 2-6-3-8-6-12?
To identify the pattern, we can look at the differences between the numbers: the first difference is +4 (2 to 6), the second is -3 (6 to 3), the third is +5 (3 to 8), the fourth is -2 (8 to 6), and the fifth is +6 (6 to 12). The pattern appears to alternate between adding an increasing number (4, 5, 6) and then subtracting a smaller number (3, 2). Following this pattern, the next operation would be to subtract 1 from 12, resulting in 11. Thus, the next number is 11.
What is the next number in this pattern 3 12 48 192?
To find the next number in the pattern 3, 12, 48, 192, we can observe that each number is multiplied by 4 to get the next number. 3 x 4 = 12 12 x 4 = 48 48 x 4 = 192 Therefore, to find the next number, we multiply 192 by 4: 192 x 4 = 768 So, the next number in the pattern is 768.
What would be the next number in this series 15 12 13 10 11 8?
What would be the next number in this series 15 12 13 10 11 8?
