Greatest Term (numerically) - Practice Questions & MCQ

Numerically Greatest Value:

The number which has the highest modulus value is called the Numerically Greatest Value

Eg, out of $4,-7,-5,6,1$
-7 has the Numerically Greatest Value because its mod value $(=7)$ is the largest among all the mod values of the given numbers

Method to find the Numerically Greatest Term of the expansion $(a+b)^n$
First, find the value of $m$ which is

$
\mathrm{m}=\frac{(\mathrm{n}+1)}{1+\left|\frac{\mathrm{a}}{\mathrm{~b}}\right|}
$
If m is an integer, then $\mathrm{T}_{\mathrm{m}}$ and $\mathrm{T}_{\mathrm{m}+1}$ are numerically equal and both are greatest terms.
If $m$ is not an integer, then $T_{[m]+1}$ is the greatest term, where $[m]$ is an integral part of $m$.