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Numbers
❨ 1 - 1 ❩ + ❨ 1 - 2 ❩ + ❨ 1 - 3 ❩ + ... up to n terms =? n n n
1⁄2 n
1⁄2 (n - 1)
1⁄2 n(n - 1)
None of these
Show Answer
Correct Answer:
1⁄2 n(n - 1)
Explanation:
Given sum
= (1 + 1 + 1 + ... to
n
terms)
-
❨
1
+
2
+
3
+ ... to
n
terms
❩
n
n
n
=
n
-
n
❨
1
+ 1
❩
[
Ref
:
n
th terms = (
n
/
n
) = 1]
2
n
=
n
-
n
+ 1
2
=
1
(
n
- 1)
2
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