The number of geese at a city park in the year 2015 was 132. The population is declining by 3 geese every two years. The population expressed as a sequence is Pn=132−3/2n
Find P10. What does this number represent?

Step-by-step explanation:

p10 would be 117 geese

132-3/2(10)

132-15

117

The number represents the population after 10 years

the answer is mc^1-1jpeg

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