Question

Find the nth term of this quadratic sequence. 6 , 16 , 32 , 54

Answer 1

`u_n=3n^2+n+2`

Explanation:

if n=1 then u(1)=3*1²+1+2=3+1+2=6

if n=2 then u(2)=3*2²+2+2=12+4=16

if n=3 then u(3)=3*3²+3+2=27+5=32

if n=4 then u(4)=3*4²+4+2=48+6=54