Astronomers classify stars according to their brightness by assigning them a stellar “magnitude.” The higher the magnitude the dimmer the star. The dimmest stars visible to the naked eye have stellar magnitudes of 6. The table below shows the relative brightness of different stellar magnitudes.
Stellar Magnitude 1 2 3 4 5 6
Relative Brightness 100 40 16 6.3 2.5 1
a. Find an equation that gives the relative brightness in terms of stellar magnitude.
b. Use this equation to find the relative brightness of a star with magnitude
1/2.5 = 0.4
40/100= 0.4
6.3/15 = 0.39 etc
looks to me like it is a geometric sequence with
Bn = 100 * 0.4^(n-1)