What is the pattern for the next three numbers for -1, 2, -4, 8 ____, ____, ____?
Thanks!
The next three in the sequence: -16, 32, -64.
You are multiplying each number by -2.
To find the pattern for the next three numbers in the sequence -1, 2, -4, 8, we can look for a recurring pattern or rule. Let's analyze the differences between consecutive numbers in the sequence:
- The difference between the first two numbers is 2 - (-1) = 3
- The difference between the second and third numbers is (-4) - 2 = -6
- The difference between the third and fourth numbers is 8 - (-4) = 12
From the above differences, we can see that the differences are increasing by a factor of 2 each time:
First difference: 3
Second difference: -6 (3 * 2)
Third difference: 12 (-6 * 2)
Continuing this pattern, the next difference should be 12 * 2 = 24.
To find the value of the fifth number, we add the last difference to the last number in the sequence:
8 + 24 = 32
To find the value of the sixth number, we add the fifth difference to the fifth number:
32 + 48 = 80
To find the value of the seventh number, we add the sixth difference to the sixth number:
80 + 96 = 176
Therefore, the next three numbers in the sequence are 32, 80, and 176.
To find the pattern for the given sequence -1, 2, -4, 8, we need to observe the differences between consecutive numbers.
The difference between 2 and -1 is 3 (+3).
The difference between -4 and 2 is -6 (-6).
The difference between 8 and -4 is 12 (+12).
From the differences, we can notice that they alternate between positive and negative values. Additionally, each difference is doubling the previous one.
Applying this pattern to the next three numbers:
The difference between 8 and -4 is 12. To get the next difference, we double 12, resulting in 24.
So, the difference between the missing number and 8 should be 24.
Now, adding the difference to 8, we get the first missing number:
8 + 24 = 32.
To find the next difference, we double the current one:
24 * 2 = 48.
Adding the new difference to the previous missing number, we find the second missing number:
32 + 48 = 80.
Finally, to find the last missing number, we double the most recent difference:
48 * 2 = 96.
Adding this new difference to the previous missing number, we find the third missing number:
80 + 96 = 176.
Therefore, the pattern for the next three numbers is 32, 80, 176.