What is the nth term of the quadratic sequence: -8,-8,-6,-2,4,12,22?

quadratic sequence

seems to be

where , and so on

we only need 3 points

(1,-8)

(2,-8)

(3,6)

subsitute and solve

(1,-8)

(2,-8)

(3,6)

so we have

-8=a+b+c

-8=4a+2b+c

6=9a+3b+c

add negative of the first equation to the last 2 equations to get

-8=a+b+c

0=3a+b

14=8a+2b

work with the last 2 equations

0=3a+b

14=8a+2b

multiply 1st equation by -2 and add to 2nd

0=-6a-2b

14=8a+2b +

14=2a+0

14=2a

divide by 2

7=a

sub back

0=3a+b

0=3(7)+b

0=21+b

-21=b

sub back

-8=a+b+c

-8=7-21+c

-8=-14+c

6=c

so a=7, b=-21, c=6

the nth term is

or in function form,

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.