The Median of first (2n + 1) natural numbers is (n + 103)\over3. Find the value of n.
WBBSE
Class X
Mathematics
Partnership
02 Mark
2025
The first (2n + 1) natural numbers are 1, 2, …, (2n + 1).
Their median is the middle term, which is n + 1.
So, we have:
n + 1 = (n + 103)\over3.
or, 3(n + 1) = n + 103
or, 3n + 3 = n + 103
or, 2n = 100
or, n = 50.
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