what is the pattern for the following numbers
8 17 35 71 7143
I see the pattern -- except the last number -- 7143 -- doesn't fit.
To find the pattern for the given numbers (8, 17, 35, 71, 7143), let's examine the differences between consecutive terms:
To go from 8 to 17, we add 9.
To go from 17 to 35, we add 18.
To go from 35 to 71, we add 36.
Notice that the differences between consecutive terms are increasing by 9 each time:
9, 18, 36
Let's continue this pattern:
To go from 71 to the next number, we add 72 (36 + 36).
So the next number would be 71 + 72 = 143.
Therefore, the next number in the sequence is 143.
If you are referring to the last number in the sequence (7143), and you want to find the pattern leading up to it, it seems there may be a mistake in the numbers provided. Please double-check the sequence or provide more information if needed.
To determine the pattern for the given numbers (8, 17, 35, 71, 7143), I will analyze the differences between consecutive terms.
Let's calculate the differences between each pair of consecutive numbers:
17 - 8 = 9
35 - 17 = 18
71 - 35 = 36
7143 - 71 = 7072
From the differences, we can observe that the numbers are increasing by 9, 18, 36, and 7072, respectively. However, the difference between the fourth and fifth numbers seems significantly larger compared to the previous differences.
To investigate further, let's calculate the differences between the differences:
18 - 9 = 9
36 - 18 = 18
7072 - 36 = 7036
Analyzing these second-order differences, we can see that they are also increasing in a pattern of 9, 18, and 7036, respectively.
Based on this analysis, the pattern may be the following:
The differences between each consecutive pair of numbers (starting from the second number) form a pattern of increasing numbers in the sequence 9, 18, 36, ... and so on.
However, it is important to note that the sudden jump in the difference between the fourth and fifth numbers makes the pattern less straightforward. Without further information or context, it is difficult to identify a precise pattern for the given sequence.