-
(1 + 3 + 5 + 7 + 9 + .... + 99) is equal to
-
- 2050
- 2500
- 2005
- 2002
- 2050
Correct Option: B
Expression = 1 + 3 + 5 + ....... + 99 = (1 + 2 + 3 + 4 + ....... + 100) – (2 + 4 + 6 ..... + 100)
Expression = (1 + 2 + 3 + 4 + ....... + 100) – 2(1 + 2 + 3 ..... + 50)
| Expression = | - |  | ∵ 1 + 2 + 3 + .....+ n = |  | |||
| 2 | 2 | 2 |
Expression = 50 × 101 – 50 × 51
Expression = 50 (101 – 51) = 50 × 50 = 2500
