Question

The coefficient of y⁴⁹ in (y – 1)(y – 3)(y – 5) ...... (y – 99) is ______.

Options

• 2500

• –2500

• –99 × 50

• 99 × 50

Answer 1

The coefficient of y⁴⁹ in (y – 1)(y – 3)(y – 5) ...... (y – 99) is –2500.

Explanation:

(y – 1)(y – 3)......(y – 99)

Total term is 50 coefficient of y⁴⁹ is –(1 + 3 + 5 + ...... + 99)

= `-50/2[2 + 49 xx 2]`

= –2500