Make a conjecture about the next item in the sequence:2-6,18,-54
What happens when you multiply each number by -3?
each number is multiplicatede by the same number
To make a conjecture about the next item in the sequence, let's examine the pattern between the given numbers: 2, 6, 18, -54.
Looking at the sequence, we can observe that each number is obtained by multiplying the previous number by -3.
Starting with 2:
2 * -3 = -6
-6 * -3 = 18
18 * -3 = -54
Based on this pattern, we can conjecture that the next number in the sequence would be obtained by multiplying -54 by -3:
-54 * -3 = 162
Therefore, the next item in the sequence could possibly be 162. However, it's important to note that this is just a conjecture based on the observed pattern, and there may be alternative patterns or sequences that could yield different results.