1 - 1 + 1 - 2 + 1 - 3 + ... up to n terms = ? n n n
Options:
A .  
1
n
2
B .  
1
(n - 1)
2
C .  
1
n(n - 1)
2
D .  None of these
Answer: Option B
Given sum = (1 + 1 + 1 + ... to n terms) - 1 + 2 + 3 + ... to n terms n n n = n - n 1 + 1 [ Ref: nth terms = (n/n) = 1] 2 n = n - n + 1 2 = 1 (n - 1) 2
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