In the expansion of (1 + x)^18 if the term with greatest Binomial coefficient is also the numerically greatest term, then range of positive values of x is:
A) [(10/11),(11/10)]
B) [(9/10), (10/9)]
C) [(9/11), (11/9)]
D) [(8/9), (9/8)]
In the expansion of (1 + x)^18 if the term with greatest Binomial coefficient is also the numerically greatest term, then range of positive values of x is:
A) [(10/11),(11/10)]
B) [(9/10), (10/9)]
C) [(9/11), (11/9)]
D) [(8/9), (9/8)]
Hello fardeen_genIf n is even, the greatest Binomial coefficient of is the one in the middle; i.e. where (If n is odd, it's either of the two equal terms in the middle.) So here the greatest coefficient is .
So, if this term also has the greatest value, then
, and
, and
So the answer is B.
Grandad