What is the next logical number in the following number sequence? and Why?
5, 8, 14, 26
y=2x-2
y=next number
x=lastest number
Questions like this may contain multiple answers, as long as the explanation is logical. Here's one that comes to mind:
Take the difference between the numbers and examine the generated sequence of three numbers:
8-5=3
14-8=6
26-14=12
It seems that the difference doubles every time, so the next differences are 24, 48, 96, ...
Thus the continuation of the sequence is:
5,8,14,26,50,98,194...
where the difference doubles every time.
i need help with this partter
n 1,2,5,7,11 give me numbers that follow the parttern
5, 8, 14, 26, 47, 80, 128
I thought 24 would be the next number in the sequence, but I am being given a list of numbers, one of which is the correct answer. The choices of the correct answer are:
38, 40, 41, or 50
1 2 3 4 5 6
_______________________________________4 15 32 55 84 119
find the 20th term for to this table.
What is the tru? 12,28,48 ar 16,32,48?
8,14,26,50
To find the next logical number in a sequence, you should first try to identify a pattern or rule that governs the sequence. Let's analyze the given sequence: 5, 8, 14, 26.
To identify the pattern, we can look at the differences between consecutive terms in the sequence:
8 - 5 = 3
14 - 8 = 6
26 - 14 = 12
The differences between the terms are not consistent, so we can try looking at the differences between the differences:
6 - 3 = 3
12 - 6 = 6
Now we see that the differences between the differences are consistent. This suggests that the sequence could be a quadratic sequence, where the second differences are constant.
To confirm this, let's calculate the next difference between the terms:
6 + 6 = 12
Now we have the second difference that is the same as the previous second difference. This strengthens our assumption that the sequence follows a quadratic pattern.
To find the next number, we will continue with the quadratic pattern. We add the next difference (12) to the last term in the sequence (26):
26 + 12 = 38
Therefore, the next logical number in the sequence is 38.
In conclusion, the pattern in the sequence is a quadratic pattern where each term is obtained by adding the next differences in their correct order. We can use this pattern to calculate the next number, which is 38.
I understand it now.
When the differences between the numbers doubles each time, then I add 24 to the final number of 26 = 50.
Thanks so much for helping this
mathematically challenged person!