Recent content by ila
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High School Find 12th Term in Simple Sequence: 1,4,9,16...
I had a sinking suspicion that that may have been the case.- ila
- Post #4
- Forum: General Math
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High School Find 12th Term in Simple Sequence: 1,4,9,16...
If there is a sequence of numbers 1,4,9,16... what is the 12th term in the sequence (where 1 is the first term). The textbook says that it is 144 since each term of the sequence is the square of the term value. I find (and have always found) this to be confusing, why can't an alternate algorithm...- ila
- Thread
- Sequences
- Replies: 4
- Forum: General Math
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Undergrad Are indirect proofs always necessary in mathematics?
Hi, I don't know if this has been discussed (or is trivial or even silly). I was wondering sometimes there is reliance on indirect proofs in mathematics. I was wondering can it be proven in any case where an indirect proof exists that a direct proof does not?- ila
- Thread
- Existence Proof
- Replies: 14
- Forum: General Math
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Graduate Proof of Rational Root Theorem
My maths isn't that strong. I am having trouble with this proof as well. Basically its the logic of saying that p divides a0 and hence is a factor. Why couldn't q be factored out of the equation (instead of p) and then divide the a0*q^n on the RHS by q and just say that q is a factor of a0 (in...- ila
- Post #6
- Forum: Linear and Abstract Algebra