I am assuming that the question is about a sequence, not a series. The two are related but are not the same.
Given any number it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.
The simplest polynomial of order 5 is
Un = (-87n5 + 1540n4 - 9965n3 + 28460n2 - 34228n + 14880)/120 where n = 1, 2, 3, ...
Accordingly, the next number is -107.
78
The series 20, 21, 22, 23, 24, 29 is not a geometric series, as the ratio between consecutive terms is not constant. A geometric series requires each term to be multiplied by the same factor to get to the next term. Therefore, to find the sum, we simply add the numbers: 20 + 21 + 22 + 23 + 24 + 29 = 139.
37. The difference between the 1st and 2nd term is 5, the difference between the 2nd and 3rd term is 6, the difference between the 3rd and 4th term is 7, etc. The next term is +9 from the last term given.
The next number in the series 1 2 4 8 10 20 22 is
26
78
The series 20, 21, 22, 23, 24, 29 is not a geometric series, as the ratio between consecutive terms is not constant. A geometric series requires each term to be multiplied by the same factor to get to the next term. Therefore, to find the sum, we simply add the numbers: 20 + 21 + 22 + 23 + 24 + 29 = 139.
20
20 is not a term in the Fibonacci series.
what number is next in the sequence: 10,20,30,20,(? 30
37. The difference between the 1st and 2nd term is 5, the difference between the 2nd and 3rd term is 6, the difference between the 3rd and 4th term is 7, etc. The next term is +9 from the last term given.
Hi
The next number in the series 1 2 4 8 10 20 22 is
could be 72
There is a "Fibonacci" like series is that each digit is the sum of the preceding two numbers: 4 + 8 = 12 8 + 12 = 20 So the series continues: 12 + 20 = 32 20 + 32 = 52 32 + 52 = 84 52 + 84 = 136 and so on. ----------------------------------------------------------------------------- What number do you want to be next? Give me a number and I'll give you a polynomial so that putting in 1, 2, 3, 4 gives the values 4, 8, 12, 20 and putting in 5 gives the number you want.
256.
20th term = 20*(20+1)/2