Write a rule for the table below

Hours Number of Bacteria
1 32
2 256
3 2048
4 16384
5 131072
6 1048567

1 answer

well 1048567/131072 = 7.999931 close to 8
try the first one
256/32 = 8
hmm, next one
2048 / 256 = 8
hmmmm
suspect geometric sequence with a = 32 and r = 8
but try next to make sure
16384 / 2048 = 8 sure enough
so
term n = 32 * 8^(n-1)