First slide

Binomial theorem for positive integral Index

Question

In the polynomial $(x - 1) (x - 2) (x - 3) \dots (x - 100)$ the coefficient of X⁹⁹is

Easy

A

5050
B

-5050
C

100
D

99

Solution

We have, $(x - 1) (x - 2) (x - 3) \dots (x - 100)$ Numbers of terms =100
$\begin{array}{l} = (- 1 - 2 - 3 - \dots - 100) \\ ∴ = - (1 + 2 + \dots + 100) = - \frac{100 \times 101}{2} = - 5050 \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App