On simplification 1 – 2 + 3 – 4 + 5 – 6 - - - - + 101, we get
Given:
Simplify the series:
1 - 2 + 3 - 4 + 5 - 6 + ..... + 101
Solution:
Pair the terms up to 100:
(1 - 2) + (3 - 4) + ......... + (99 - 100)
Number of such pairs = 50
Sum of these pairs = 50 × (-1) = -50
Remaining last term = +101
Total sum = -50 + 101 = 51
Thus, Value of the given expression = 51
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120 Mins English English20 Questions20 Marks15 Mins English English200 Questions200 Marks120 Mins EnglishOn simplification 1 – 2 + 3 – 4 + 5 – 6 - - - - + 101, we get
1 + 2 + 3 +………+ 50 equals
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