Question

Coefficient of x⁹⁹ in the expansion of (x – 1) (x – 3) (x – 5) … (x – 199)

• A. – 100
• B. – 1000
• C. – 10000
• D. – 100000

Answer 1

Answer: (C)

– 10000

Answer 2

Coefficient of x⁹⁹ is equal to

= – (1 + 3 + 5 + ….. + 199)

= – $\frac { 100 } { 2 }$ [1 + 199]

= – 10000.