/sci/ - Science & Math » Thread #13386864

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Anonymous Tue 13 Jul 03:20:45 2021 No.13386864 View Reply Original Report

Quoted By: >>13386892 >>13386964 >>13386978 >>13388985 >>13389043 >>13389110 >>13389117

Lets see who here passed grade 4, the answer is 2, 3 and 6. Now explain.

Anonymous

Anonymous Tue 13 Jul 2021 03:30:49 No.13386885 Report

Quoted By:

>homework thread
Ask nicely and I'll help you.

Anonymous

Anonymous Tue 13 Jul 2021 03:32:57 No.13386891 Report

Quoted By: >>13386900

1 2 and 3

1 because... duh
2 because every other number is a multiple of 2, so you will always select at least one even number
3 because every 3rd number is a multiple of 3, so if you're selecting 3 consecutive number at least one must be a multiple of 3.
6 I wouldn't count because it follows only as an artifact of being divisible by both 2 and 3

Thus, every number you generate from 3 consecutive numbers will be of the form:
2 * 3 * (a bunch of other random numbers)

Anonymous

Anonymous Tue 13 Jul 2021 03:34:00 No.13386892 Report

Quoted By: >>13386900 >>13386960

>>13386864
Suppose x is congruent to n modulo 3. Then what can you say about the values of x+1 and x+2 modulo 3? Now consider their sum, once again modulo 3.

Anonymous

Anonymous Tue 13 Jul 2021 03:39:06 No.13386900 Report

Quoted By: >>13386912

>>13386891
>>13386892
Damn it, you guys. He was supposed to ask nicely.

Anonymous

Anonymous Tue 13 Jul 2021 03:46:36 No.13386912 Report

Quoted By:

>>13386900
sorry for acting smug anon, was just trying to avoid a ban but am also autistic so came off obvious

thanks to the rest, i love you /sci/ just a brainlet neet trying to improve himself one day ill be smart and have the girl of my dreams

Anonymous

Anonymous Tue 13 Jul 2021 04:06:49 No.13386942 Report

Quoted By:

Lol this isn't elementary math, you need to use modulo

Anonymous

Anonymous Tue 13 Jul 2021 04:15:59 No.13386960 Report

Quoted By:

>>13386892
*Consider their product, once again modulo 3

Anonymous

Anonymous Tue 13 Jul 2021 04:16:42 No.13386964 Report

Quoted By: >>13389020

>>13386864
>the answer is 2, 3 and 6
no, the answer is 1,2,3. for obvious reasons. three consecutive numbers aren't divisible by 6.

Anonymous

Anonymous Tue 13 Jul 2021 04:22:47 No.13386978 Report

Quoted By: >>13389048

>>13386864
The product of 3 consecutive numbers is always divisible by 2, 1 and the product itself.

Anonymous

Anonymous Tue 13 Jul 2021 04:28:34 No.13386991 Report

Quoted By: >>13388269

yeah just take the mod and use these rules
(a + b) mod n = ((a mod n) + (b mod n)) mod n
(a * b) mod n = ((a mod n) * (b mod n)) mod n

you can only be sure that it divides 1,2,3.
it's a fun problem, you can easily generalise it so it divides more numbers by just adding terms.

Anonymous

Anonymous Tue 13 Jul 2021 05:43:36 No.13387098 Report

Quoted By:

Well, OP. Here's a deceptively simple but fun problem to keep you thinking: Find n consecutive composite numbers.

To prove it isn't homework, the answer is in this pastebin: zN3WamnT. Don't cheat.

Anonymous

Anonymous Tue 13 Jul 2021 13:45:47 No.13388151 Report

Quoted By:

All natural numbers are equally divisible by 0.

Anonymous

Anonymous Tue 13 Jul 2021 14:21:54 No.13388269 Report

Quoted By:

>>13386991
Which whole number divisible by 2 and 3 is not divisible by 6?

Anonymous

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Anonymous Tue 13 Jul 2021 18:18:55 No.13388985 Report

Quoted By: >>13389048

>>13386864
The product of three consecutive numbers is always divisible by the three consecutive numbers themselves

Anonymous

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Anonymous Tue 13 Jul 2021 18:31:44 No.13389020 Report

Quoted By: >>13389028

>>13386964
>a number divisible by 2 and 3 is not divisible by 6

Anonymous

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Anonymous Tue 13 Jul 2021 18:35:52 No.13389028 Report

Quoted By:

>>13389020
>a number isn't divisible by 1

Anonymous

Anonymous Tue 13 Jul 2021 18:38:59 No.13389043 Report

Quoted By:

>>13386864
I didn't know that 9(2+3+4) was divisible by 2

Anonymous

Anonymous Tue 13 Jul 2021 18:40:55 No.13389048 Report

Quoted By:

>>13388985
Also this >>13386978

Anonymous

Anonymous Tue 13 Jul 2021 18:53:03 No.13389110 Report

Quoted By:

>>13386864
2 because you're guaranteed to have an even number
3 because if the number is not divisible by 3, then either the number before or after is (by sum of digits being divisible by 3)
6 because it is divisible hy both 2 and 3

Anonymous

Anonymous Tue 13 Jul 2021 18:54:20 No.13389117 Report

Quoted By:

>>13386864
LOL, not including 0
Retards

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