Question

Find the next term of the given sequence:

$1,3,6,10,..........$

• A. $12$
• B. $13$
• C. $14$
• D. $15$

Answer 1

The correct option is D $15$

$1,3,6,10,x$

$3-1=2$

$6-3=3=2+1$

$10-6=4=3+1$

$\therefore$ Let the 4th number be $x$

$\therefore x-10=4+1$ (according to the sequence)

$\Rightarrow x-10=5$

$\Rightarrow x=10+5=15$

$\therefore x=15$ option-D