Question
Download Solution PDFThe sum of 1 - 1 + 1 - 1 + 1 - 1... to even number of terms is ____.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Even: Any number in which digits at once place is 0, 2, 4, 6 or 8.
For example 2, 48, 1000 are even number.
Calculation:
Given number series is
1 - 1 + 1 - 1 + 1 - 1......
We can see that numbers changes sign at every position and, the sign of numbers in alternate place are same. Hence,
Sum of first two terms
= 1 - 1 = 0
Sum of next two terms
= 1 - 1 = 0
We can see that sum of every pair is zero.
∴ For an even number of total terms, the value of the series will be zero.
Last updated on Apr 30, 2025
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