EDUCATION FOR BETTER TOMMROW
Saturday, 9 August 2014
CHAPTER 4- Worked Out Examples 2
What is the greatest coefficient in the expansion of
What is the greatest term in the expression of
For this part, we basically need to only determine
have no role to play in this part.
To find the greatest coefficient, consider the following ratio:
is odd, we have
we see that for odd
, the two middle coefficients are the greatest. This can be verified by considering the following expansion:
In this case therefore, the greatest coefficient is the single middle coefficient
. Lets verify this again:
To find the greatest term, we must also consider
. We again follow the approach of part
is an integer
, which must lie in
, we see that there are two greatest terms
. (Why). Here’s the explanation:
are the two greatest terms
is a non-integer, assume
We now have
is the greatest term
August 09, 2014
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