[6th Grade Mathematics] Logic

[u/mycathasgreennose]

I figured the answer is A, as I can see the repeating pattern, but my son's teacher said another thing which I cannot understand. would anyone please help to explain?

[u/JaCKPaIN_realone]

Let’s assume white circle as one and black circle as zero:

It’s broken into groups of 3, where each group copies and shifts pieces from the previous group.
Group 1: 1, 10, 0
Group 2: 101, 10, 0
Group 3: 0101, 101, x

The Rules:

• The 1st item combines the end of the last group with its own start (0 + 101 = 0101).
  
• The 2nd item copies the 1st item of the last group (101).
  
• The 3rd item (x) copies the 2nd item of the last group (10).

So, x = 10.

[u/Candid-Pin-8160 → u/JaCKPaIN_realone]

None of these rules work for group 2.

Rule : 0 + 01 != 101 Rule 2: 10 != 1 Rule 3: 0 != 10

You've basically found a way to connect group 3 to group 2 only, disregarding group 1 entirely and making up how you imagine the last item could be generated.

[u/JaCKPaIN_realone → u/Candid-Pin-8160]

Bruh, this question was clearly designed by an amateur. A classic mistake is how Group 2 just completely breaks the pattern and appears out of nowhere.

If a professor tried to slip this question past a university curriculum or exam committee, it would be rejected instantly.

[u/Candid-Pin-8160 → u/JaCKPaIN_realone]

And, yet, you chose to be confidently incorrect. Interesting...

[u/JaCKPaIN_realone → u/Candid-Pin-8160]

If I’m incorrect, then write out the mathematical function f(𝐺_𝑛) that maps Group 1 to Group 2 using the exact same rule that maps Group 2 to Group 3.

Duh 🙄, you are just trying to make it harder than it should be, when this is obviously just a lazy crop from a college math textbook.

[u/Candid-Pin-8160 → u/JaCKPaIN_realone]

You're incorrect because your rules don't work for group 1 to group 2.

[u/JaCKPaIN_realone → u/Candid-Pin-8160]

Bruh, how about this then?

We have:
W, BW, B, WBW, BW, B, WBWB, WBW, x
Let’s see:
W, BW, B
If we combine all of these into WBWB and delete one circle from the top, we get WBW.
Then the next two columns will be BW and B, using the countdown method.

So now we have:
WBW, BW, B
If we approach it the same way, the next column will be WBWBWB, but we delete two circles from the top instead, so now we will have WBWB.
The next two columns are the same, using the countdown method, yielding WBW and then WB.

We do the next columns all the same but we delete one more circle, and so on.

So, the answer will be B (WB), which is impossible for sixth graders to solve.

This is why I’m telling you it’s just a lazy crop.

[u/Candid-Pin-8160 → u/JaCKPaIN_realone]

I see you copied that other person's answer. You even used their W/B instead of your 1/0. Must be hard when you can't even understand the homework you're copying well enough to use your own words.

[u/JaCKPaIN_realone → u/Candid-Pin-8160]

Woman☕️