A. Find the common difference of the arithmetic sequence.
22, 19.5, 17, 14.5. ...

a^n=-2.5m+24.5

Step-by-step explanation:

Use the formula a^n = a^1 + d (n-1) to identify the arithmetic system.

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4