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Given that 1 + 2 + 3 + .... x = x(x + 1) then 1 + 3 + 5 + ..... + 99 is equal to 2
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- 2250
- 2500
- 2525
- 3775
- 2250
Correct Option: D
Given that ,
1 + 2 + 3 + ............. + x = | |
2 |
∴ 1 + 3 + 5 + ............. + 99 = ( 1 + 2 + 3 + 4 + 5 +.....100) – ( 2 + 4 + 6 +.....100)
Required answer = | - | ||
2 | 2 |
Hence , Required answer = 5050 – 1275 = 3775