Question

Find the next term of the sequence:

$2,6,12,20,30,..........$

• A. $48$
• B. $42$
• C. $54$
• D. $68$

Answer 1

The correct option is B $42$

Given sequence is $2,6,12,20,30,.....$

Here, $t_1=2=1+1^2$

$t_2=6=2+2^2$

$t_3=12=3+3^2$

$t_4=40=4+4^2$
$t_5=30=5+5^2$

So, general term for this series is $t_n=n+n^2$

$\therefore t_6=6+6^2=42$

Hence, the answer is $42$.