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@Raju Pratama
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Well, it's kinda technique used to prove mathematical theorems by taking random values, rather than actually proving them by expressions and hard simplifications!
Lol how can it be called induction Swapnil Das ? I think you are confused between Inductive reasoning (guessing) and Mathematical Induction ! See this.
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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
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[example link](https://brilliant.org)> This is a quote# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"\(...\)or\[...\]to ensure proper formatting.2 \times 32^{34}a_{i-1}\frac{2}{3}\sqrt{2}\sum_{i=1}^3\sin \theta\boxed{123}Comments
First off, notice that b−1=ac,a−1=bc,c−1=ab.
Then,
a+b−1+11=a+ac+11
b+c−1+11=b+ab+11=b+ab+abcabc=1+a+acac
c+a−1+11=c+bc+11=c+cb+abcabc=1+b+abab=abc+b+abab=1+a+aca
Add them all up and you'll get the answer.
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thank's very much for your answer. I didn't think like that before. See you at other question.
Well by what time do you want the answer?
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at 20.45
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What's time now? ( Your profile suggests that U live in Indonesia)
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well, maybe you can solve it in 15 minutes
20.30
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My goodness!
If U give me sufficient time, I can provide you the complete process by trying myself.
Please mention the source of this problem. @Raju Pratama
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it is my homework from my math course.
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O! See my inductive process!
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but I don't get the complete process from you
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Just put my values of a, b and c in your expression, this is called induction!
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what induction is?
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Well, it's kinda technique used to prove mathematical theorems by taking random values, rather than actually proving them by expressions and hard simplifications!
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This is the worst misconception of Mathematical Induction :/ !
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Hey, I saw my mistypes! Actually I meant Inductive reasoning! Sorry for that!
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Ya, No problem. but by the way what the different between Inductive reasoning and Mathematical Induction?
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Well,... I donno how should I explain, BTW angry on my math teacher, It was he who misconceptualized my brain!
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Oooh, I'm sorry to hear that.
O, I really don't know about it before. Thank's a lot ffor your explaination Karthik Venkata
but, do you have a manual way? because my teacher asked me to write the process.
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Ya, but difficult to edit!
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if I express 4, 1/4, and 1. I don't get the answer. how about other values?
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U don't ! Lemme try!
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how if a = -1, b = -1, and c = 1 ?
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YA!
See Wikipedia on Mathematical Induction. The explanation given by Swapnil is incorrect.
how can you get the value of a, b, and c?
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By random thinking bro! You may take other's too! like 4, 1/4 and 1!
please comment.
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I think the answer is one.
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how the way?
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I have not tried, just U try to take the following method I always use, abc=1, then a=??, and go on!
What's your age bro?
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17 years old, how about you?
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O! I am 14 sir!!
@Raju Pratama It's one! I did it by induction! take a =2, b=1/2 and c = 1 !
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Lol how can it be called induction Swapnil Das ? I think you are confused between Inductive reasoning (guessing) and Mathematical Induction ! See this.
Did U get it?
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no, I don't, but would you like to explain the complete process to me?
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Think of some numbers a,b,c such that abc=1, I thought and found out! Then put them in the expression!
Please replace my induction with inductive reasoning, I was mistakened as my teacher gave me a wrong explanation. Thanks!