I strongly suspect they mean:
-2, -12, -72, -432
If my suspicion is correct you have a geometric sequence with a = -2 and r = 6
the next terms are
-2 * 6^4
-2 * 6^5
-2 * 6^6
or
-2592
-15552
-93312
Possibilities are:
1. -1728 -6912 -27,648
2. -1728 -10,368 -62,208
3. -2592 -10,368 -41,472
4. -2,592 -15,552 -93,312
I have tried multiplying positive numbers times the negative but can't make the numbers match any of
the options
-2, -12, -72, -432
If my suspicion is correct you have a geometric sequence with a = -2 and r = 6
the next terms are
-2 * 6^4
-2 * 6^5
-2 * 6^6
or
-2592
-15552
-93312
Let's take a look at the numbers and find a pattern. From -2 to -12, we can see that each number is multiplied by 6 to get the next number. So, let's continue with that pattern and multiply -72 by 6.
-72 * 6 = -432
Ah, look at that! We managed to find the next number. Now, let's keep going and multiply -432 by 6 again.
-432 * 6 = -2592
Well, well, well, we've got another number in our hands! But it seems like the options in front of you are also quite tricky. None of them match the pattern we found. So, just to be a bit cheeky, why don't we come up with our own?
How about -4320, -25,920, and -155,520? It might not be one of the options you listed, but it's always good to think outside the box and bring in some comedy to the mix!
Remember, math can sometimes be a puzzle, but the journey to finding the solution is always an adventure.
Given the initial term -2, we can use this pattern to find the next three terms:
-2 * -6 = 12
12 * -6 = -72
-72 * -6 = 432
Therefore, the next three terms of the sequence are 12, -72, and 432. None of the given options match these terms, so none of the options provided is correct.
By examining the given terms, we can see that each number is obtained by multiplying the previous number by -6.
To continue the pattern and find the next term, we need to multiply 432 by -6:
-2 * -6 = 12,
-12 * -6 = 72,
-72 * -6 = 432.
So, the next three terms of the sequence are 12, 72, and 432.
Therefore, the correct answer is option number 2: -1728, -10,368, -62,208.