The greatest term in the expansion of (99^{50} + 100^{50})is... | MATH - GENERAL TERM, COEFFICIENT OF ANY POWER OF x | SolveeIt

The greatest term in the expansion of $99^{50} + 100^{50}$ is.

$(1 + x)^{n} - nx - 1$

$n \in N$

$2x$

None of these

Answer

$(1 + x)^{n} - nx - 1$

Explanation

Let (r + 1)^th term be the greatest term. Then

$- \frac{28}{243}$ and $- \frac{28}{81}$

Now $\left( 2x - \frac{3}{x} \right)^{6}$

$\left( 2x^{2} - \frac{1}{x} \right)^{12}$

$\left( x - \frac{3}{x^{2}} \right)^{9},9 ⥂ C_{2}$

Hence the greatest term is

$\left( x^{2} + \frac{1}{x} \right)^{n}$ .

Question: The greatest term in the expansion of \(99^{50} + 100^{50}\)is....