Given any number it is easy to find a rule based on a polynomial of order 7 such that the first seven numbers are as listed in the question and the eighth is the given number. That is, it is easy to find a rule so that any number can be the "next" in the sequence.
The polynomial of order six that fits is
Un = (n6 - 15n5 + 115n4 - 405n3 + 964n2 - 660n + 240)/240 and
accordingly, U8 = 379.
They are: 0, -5, -10
1, 2, 5, 10, 19, 38, 95, 190.
To make 190 using the numbers 8, 10, 50, 75, and 100, you can add 100 + 75 + 10 + 8 = 193 and then subtract 3, which can be formed by using 10 - 8. Thus, 100 + 75 + (10 - 8) = 190.
1 x 190, 2 x 95, 5 x 38, 10 x 19
The pattern involves an increasing difference between consecutive numbers: 10 (20 - 10), 20 (40 - 20), 30 (70 - 40), and 40 (110 - 70). The differences themselves increase by 10 each time. Following this pattern, the next differences would be 50, 60, and 70, leading to the next three numbers being 160 (110 + 50), 220 (160 + 60), and 290 (220 + 70). Thus, the next three numbers are 160, 220, and 290.
They are: 0, -5, -10
the next three numbers are 180 540 and 1620=)
219
1, 2, 5, 10, 19, 38, 95, 190.
There is no number pattern in 781013. But there is a number pattern in the numbers 7, 8, 10, 13. 7+1=8 8+2=10 10+3=13 Can you see the pattern? And the next number in this sequence would be ... ?
The pattern seems to be +10 then -5. Therefore the next two numbers would be 26 and 36.
The mean is the sum of all of the numbers in the series divided by the number of items in the series. In this case it is the SUM(10...190), which equals 1900. There are 19 items in the series, so the mean is 1900/19 = 100.
The pattern 1, 10, 100, 1000 next four numbers would be 10000, 100000, 1000000, 10000000.
The pattern is +5, -7... the answer is 6
These are all the whole numbers that go into 190 evenly: 1, 2, 5, 10, 19, 38, 95, 190.
1 x 190, 2 x 95, 5 x 38, 10 x 19
-12, 14, -16