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When simplified, the sum 1 + 1 + 1 + 1 + 1 +......+ 1 is equal to 2 6 12 20 30 n(n+1)
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1 n -
1 n + 1 -
2(n + 1) n -
n n + 1
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Correct Option: D
| Expression = | + | + | + | + .......... + | |||||
| 2 | 6 | 12 | 20 | n(n + 1) |
| = | + | + | + | + .......... + | |||||
| 1 × 2 | 2 × 3 | 3 × 4 | 4 × 5 | n(n + 1) |
| = 1 - | + | - | + | - | + | - | ......... + | - | |||||||||
| 2 | 2 | 3 | 3 | 4 | 4 | 5 | n | n + 1 |
| Expression = 1 - | = | = | |||
| n + 1 | n + 1 | n + 1 |