Whats the nth term in the sequence -5, -2, 3, 10, 19 please help

Step-by-step explanation:

The given sequence is -5, -2,3, 10, 19.

We can observe the following pattern:

-5+3=-2

-2+5=3

3+7=10

10+9=19

There is no constant difference among the terms.

So the sequence is quadratic.

Let the nth term be:

Also,

and

We solve the three equations simultaneously to get:

a=1,b=0, c=-6.

Therefore the nth term is