Question

Statement-1: Suppose that $S_n$ denotes the sum to $n$ terms of a sequence. If $S_1=1,S_2=4$ and $S_3=9$ then $S_{10}=100$.
Statement-2: Sum of the first $n$ odd natural numbers is $n^2$.

• A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
• B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
• C. Statement-1 is true, statement-2 is false.
• D. Statement-1 is false, statement-2 is true. . .

Answer 1

Answer: (D)

If $S_n=(n-1)(n-2)(n-3)+n^2$
$S_1,S_2,S_3$ all are true but $S_{10}\ne 100$ and $S-2$ is obviously true