Greatest Term (numerically) - Practice Questions & MCQ

If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of  are in the ratio 5:10:14, then the largest coefficient in this expansion is.

The numerically greatest term in 

The largest term in the expansion of $(3+2 x)^{50}$. where $x=\frac{1}{5}$ is

The largest term in the expansion of   where    is

The greatest coefficient in the expansion of

If the sum of the coefficients in the expansion  is 1024, then the value of the greatest coefficient in the expansion is:

Numerically, the greatest value of the term in the expansion of , when x=1/5, is

Let $a_n=\frac{(1000)^n}{n!}$ for $n \in N$ Then $a_n$ is greatest, when

The greatest coefficient in the expansion of $(1+x)^{2 n+2}$ is

The greatest term in the expansion of $\mathrm{3 \sqrt{5}\left(1+\frac{1}{3 \sqrt{5}}\right)^{20}}$,is