find the pattern and next two numbers 8, -24, 72, -216
Each number is multiplied by - 3 to get the next number.
To find the pattern in the given sequence and determine the next two numbers, let's analyze the differences between each consecutive pair of numbers:
- The difference between 8 and -24 is -32.
- The difference between -24 and 72 is 96.
- The difference between 72 and -216 is -288.
Looking at the differences between each pair, we observe that the sequence alternates between a negative and positive sign. Additionally, each difference is a multiple of 3. More specifically, each difference is obtained by multiplying the previous number by -4 (or dividing it by 3 in the opposite direction).
Using this pattern, we can apply the same rule to determine the next two numbers:
- Multiply -216 by -4 (or divide by 3) to get 864.
- Multiply 864 by -4 (or divide by 3) to get -3456.
Therefore, the next two numbers in the sequence are 864 and -3456.