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oh I forgot to mention the sum to infinity of the terms of the sequence is 1000

Did you figure out the general sequence yet using those terms given

oh ok, had to look what that meant, sum to infinity is the limit of that sequence

r = ratio of n+1 term to the nth term ...
r = 90/100 = 81/90 = 0.9

sorry back,

yeah 44 looks right

\[990=\frac{ 100(1-0.9^n )}{ 1-0.9 }\]
solve

i got 43.something, so 44 terms to get there

Oh I think I see. Thank you very much!

in that case it just blows up since each term is larger than the last

Ok. Good to know. :) Thanks very much!