-
When simplified, the sum 1 + 1 + 1 + 1 + 1 +......+ 1 is equal to 2 6 12 20 30 n(n+1)
-
-
1 n -
1 n + 1 -
2(n + 1) n -
n n + 1
-
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 |