Question

The $n^{th}$ term of the pattern 0, 3, 8, 15, 24...... is _____.

• A. $n-1$
• B. $n^2-1$
• C. $n(n-1)$
• D. $(n-1)(n-2)$

Answer 1

The correct option is B $n^2-1$

The pattern in the above case is,
$0=1^2-1$, (1st term; n=1)
$3=2^2-1$, (2nd term; n=2)
$8=3^2-1$ (3rd term; n=3)
and so on.
Similarly, the term at $n^{th}$ position of the pattern will be $n^2-1$.

Hence, option 'b' is correct.