Match the numbers in column-I with the rules in column- II
No Column-I No Column-II
1 30 a $n^{3} + n / 2$
2 63 b $3 n^{2} + 3$
3 66 c $n^{3} + 4$
4 110 d $n^{2} - 2 n$
5 127 e $n^{3} - 3 n$

f $2 n^{2} - 1$

Which rule the number 30 follows?

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A b
Substitute the value of $n = 3$ in $b$
$\Rightarrow 3 n^{2} + 3 = 3 \times 3^{2} + 3 = 27 + 3 = 30$
Hence, option 'A' is correct.

Suggest Corrections

Similar questions

Using mathematical Induction, the numbers $a_{n}^{'} s$ are defined by $a_{0} = 1, a_{n + 1} = 3 n^{2} + n + a_{n} (n \geq 0)$ Then $a_{n} =$

n

n^{t h}

\frac{n^{3} + 3 n^{2} + 2 n + 2}{n^{2} + 2 n}

{lim}_{n \to \infty} \frac{1. n^{2} + 2 (n - 1)^{2} + 3 (n - 2)^{2} + . . . + n {.1}^{2}}{1^{3} + 2^{3} + 3^{3} + . . . + n^{3}}

(1), (2, 3, 4), (5, 6, 7, 8, 9), . . .

n^{t h}

Join BYJU'S Learning Program