Prove that for any integer n≥1, n(n^2 − 1)(n + 2) is divisible by 4 using mathematical induction.

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In the first step, divisibility to 4 for n = 1 must be provided. Then I get the question of whether 0 can be divided by 4. How do I go through this step? what should I do?

how can ı prove that problem?

What I have tried:

ı tried;
for n=1;
1.(1^2-1).(1+2)=0
0 can be divided by 4

Posted 28-Nov-20 6:32am

alley46

Updated 28-Nov-20 7:32am

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Patrice T 28-Nov-20 12:44pm

Are you it is a programming problem ?

Richard MacCutchan 28-Nov-20 12:44pm

You need to know mathematical induction.

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CPallini · Answer 1 · 2020-11-28T07:28:00

Solution 1

Yes 0 is divisible by 4. As a matter of fact, 0 is divisible by ano other integer, see for instance Divisibility Rules (Tests)[^].
Now you may proceed with the demonstration.

Posted 28-Nov-20 7:28am

CPallini

OriginalGriff · Answer 2 · 2020-11-28T07:32:00

First off, while ee are more than willing to help those that are stuck, that doesn't mean that we are here to do it all for you! We can't do all the work, you are either getting paid for this, or it's part of your grades and it wouldn't be at all fair for us to do it all for you.

So we need you to do the work, and we will help you when you get stuck. That doesn't mean we will give you a step by step solution you can hand in!

Secondly, this is a development site, not a mathematics site. Start here: Mathematical Induction - Tutorialspoint[^] and then start thinking about your homework.

This is not a site to solve that for you, even if it wasn't homework as it is nothing to do with software development.