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Induction is the best way but I have no idea how the heck I prove it's decreasing.

If an+1 is < an, the the function is decreasing.

are a,b,c,d positive integers?

yep!! sorry for non specifying that.

What about the n's ?

n is a set of natural numbers.

sorry, I forgot to put +

That is the definition but we must prove it.

nope!! that is always true ... there is ^n to consider of.

But substituting any real number should yield a decreasing pattern regardless.

and a^n**
**

I still think we have to use induction though. Seems tough though. Even the trivial case.

sorry ... have to go due to technical reasons. I'll be back in 6 hrs.

I have to go too

good luck

I think induction might work ... but it seems too ugly to work out.

if anyone found any trick to it .. please update it.

@experimentX
Tell me your thoughts.

@experimentX Weird, I used the chain rule to get my derivative and I'm not sure where I went wrong.

Actually, I'm not so sure that I am wrong.

Ah I see, should be doing logarithmic differentiation.

If a=b=c=d =k then,
a_n=k