Y by narutomath96, UpvoteFarm, Adventure10, Mango247
Let
be a strictly increasing positive integers sequence such that
and
. Show that the infinite series
converges.



![\[\sum^{\infty}_{i=1}\frac{1}{a_{i}}\]](http://latex.artofproblemsolving.com/a/a/1/aa166b149b4976fcf0d2a6320a0981b122bd4902.png)
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