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i really wouldn't know how to solve this either, i'm curious to see the answer choices, but i would take this as a simple estimation problem
S=1/32 + 1/33 + ... +1/64
so you're adding a bunch of tiny fractions that are roughly equal to:
8/30 + 10/40 + 10/50 + 5/60
so you can add them rather quickly..
8/30 + 1/4 + 1/5 + 5/60 ->
4/15 + 1/4 + 3/15 + 5/60 ->
16/60 + 1/4 + 12/60 + 5/60 ->
33/60 + 1/4 ->
roughly 1/2 + 1/4 = 3/4
and since everything was rounded down i'd look for an answer a little higher. i would hope this could get me in the ballpark of the answers but you'd really have to see the answer choices to know for sure
.. and thats my very simple minded attempt to solve that =)
Very impressive Bluebird. You ask a good question.
My quant teacher told me there were different rules for AP's, GP's and HP's. He told me while we can get an exact value for the sum of an AP or a GP, we can only get a range within which the value of the sum of an HP series will be.
Maybe someone else might be able to add more to this but this is all I can tell you on this subject.