I need some help on this reduction formulae question.
The question is:
Given that
Show that
I know that the reduction formulae is
But I don't know how manipulate it into the above form. Could someone help please?
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n=1
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n=2
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n=3
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n=4
By now you should be noticing the pattern.
Lets look at the numerator:
the leading term is always 2n-1 and it skips every other number. so we can write it like this:
And of course you notice that this n=4 and that this really means the numerator is
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And now we look at the denominator
And we notice that the leading term is always 2n. So we evaluate it a bit.
And of course you notice that n=4 and that this holds for any iteration. So the denominator becomes
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Then you consolidate the function for the numerator and denominator
Interestingly enough, 4.5 months ago I did this: http://www.mathhelpforum.com/math-he...443-post2.html
When I become a cyborg, I won't forget things like this.