On day zero, 100 people viewed the video. On day one, each of the 100 persons share the video with 5 persons. So 500 people watched the video. On day two each of the 500 person agrees to share the video with 5 persons so we have that 2,500 watched the video on day 2. I'll attempt to create the exponential function by trial and error. It looks like 100 and 5 are common factors in the number of viewers. So v(n) where n is the number of day and v is an exponential function of n.
If V(n) = 100 * 5^(n) .
Let's substite and see.
So on day zero, we have 100 * 5^(0) = 100 * 1 = 100 and on day two, we have 100 * 5^(1) = 500; and on day 2 we have 100 * 5^(2) = 100 * 25 = 2, 500.
Hence v(n) = 100 * 5^(n) I
