Finding the nth term of this sequence: (by the way I'm learning quadratic sequences= -2 -8 -18 -32 -50

n^2+2n+1

Step-by-step explanation:

-2-8-18-32-50

difference=-6-10-14-18

common differences=-4-4-4-4-4

 -2-8-18-32-50

n^2=1,4,9,16,25

minus it

=-1,-4,-9,-16,-25

differences 2,5,7,9

common differences=2

2,4,6,8

so 2n+1

so the answer is n^2+2n+1

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches