Sequence And Series Question 273

Question: The sum of first $ n $ natural numbers is

[MP PET 1984; RPET 1995]

Options:

A) $ n,(n-1) $

B) $ \frac{n,(n-1)}{2} $

C) $ n,(n+1) $

D) $ \frac{n,(n+1)}{2} $

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Answer:

Correct Answer: D

Solution:

We know that natural numbers are $ 1,\ 2,\ 3,\ 4,\ ……..n $ are in A.P. Now sum $ =\frac{n}{2}[2\times 1+(n-1)1]=\frac{n}{2}(n+1) $ .