1. The problem statement, all variables and given/known data I want a general equation for the finite sum of n0 + n1 + n2... starting at n = 0 for the equation t = 64/(165+3n) so i have a sum of numbers: 64/165 + 64/168 + 64/171... i don't want you to think i am lazy and don't show work but this isn't for school. i want to figure out how much time having passed on a very long recording of a metronome corresponds to the beats per minute being played. 1 bar = 4 beats start at 55% of 300 beats per minute after 16 bars have passed it starts over but 3 beats per minute are added to the speed. so it goes from 165 beats per minute to 168 to 171... i could just add them all up and make a little reference table but i am determined now to understand how to solve this problem! 2. Relevant equations t = 64/(165+3n) 3. The attempt at a solution my attempts are all useless.