If you could put in the tablet.
But the equation would be: a_n = a_1 (r)^(x-1)
with a_1 being the first category
r being 5 how much brighter than the day before is
and x is what nr. in the sequence it is
But I'm not sure as I cannot see the table
The slope is the number in front of the x. In this equation it is 1.
Year rank population
1790 3 18320
1800 4 24937
1810 4 33787
1820 4 43298
1830 4 61392
1840 5 93383
1850 3 136881
1860 5 177840
1870 7 250526
1880 5 362839
1890 6 448477
1900 5 560892
1910 5 670585
1920 7 748060
1930 9 781188
1940 9 770816
1950 10 801444
1960 13 697197
1970 16 641071
1980 20 562994
1990 20 574283