Find the nth term of this quadratic sequence
4, 7, 12, 19, 28,...

Tn=n²+3

from 4 to 7the difference is 3, then from 7 to 12 the difference is 5 and from 12 to 19 the difference is 7

therefore we constantly add 2 to the difference

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: