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.
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78
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
20
78
20 is not a term in the Fibonacci series.
20
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
To find the next number in the series 4, 8, 12, 20, we need to identify the pattern or rule governing the sequence. In this case, the pattern is that each number is the sum of the previous two numbers. 4 + 8 = 12, 8 + 12 = 20, and 12 + 20 = 32. Therefore, the next number in the series is 32.
256.
Oh, dude, finding the nth term for this pattern is like finding your favorite socks in the laundry - tedious but doable. So, to get from 10 to 20, you multiply by 2, then by 2 again to get 40, then 80, then 160. So, the pattern is just doubling each time. That means the nth term is 10 times 2 to the power of n-1. Easy peasy!
20th term = 20*(20+1)/2