For a series $S = 1 - 2 + 3 - 4 + \dots$ up to $n$ terms,
Statement-$1$: The sum of the series is always dependent on the value of $n$,i.e.,whether it is even or odd.
Statement-$2$: The sum of the series is $-\frac{n}{2}$ when the value of $n$ is any even integer.
Statement-$1$: The sum of the series is always dependent on the value of $n$,i.e.,whether it is even or odd.
Statement-$2$: The sum of the series is $-\frac{n}{2}$ when the value of $n$ is any even integer.
- AStatement-$1$ is true,Statement-$2$ is true,but Statement-$1$ is not the correct explanation for Statement-$2$.
- BStatement-$1$ is true,Statement-$2$ is false.
- CStatement-$1$ is false,Statement-$2$ is true.
- DBoth statements are true,and Statement-$1$ is the correct explanation of Statement-$2$.
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