Question

The function $2n(n+1)$ will follow which sequences below?

• A. $4,8,12,16$
• B. $4,12,36,40$
• C. $4,8,16,24$
• D. $4,12,24,40$

Answer 1

Answer: (D)

$4,12,24,40$

Given function is $2n(n+1)$

When $n=1,2\left(1\right)(1+1)=4$
When $n=2,2\left(2\right)(2+1)=12$
When $n=3,2\left(3\right)(3+1)=24$
When $n=4,2\left(4\right)(4+1)=\mathrm{40....}$
So, $4,12,24,\mathrm{40..}$ is the function for the sequence is $2n(n+1)$.