Question

What sequence is modeled by the graph below?
Picture and answer choices below :)

Answer 1

`(1;\ 4)\to a_1=4\\(2;\ 0.8)\to a_2=0.8\\(3;\ 0.16)\to a_3=0.16\\\\it's\ a\ geometric\ sequence\ because\ a_1a_3=a_2^2\\\\a_1a_3=4\cdot0.16=0.64\\\\a_2^2=0.8^2=0.64`


`a_n=a_1r^(n-1);\ r=a_2:a_1\to r=0.8:4=0.2=(1)/(5)\\\\subtitute:\\\\a_n=4\cdot\left((1)/(5)\right)^(n-1)`