What is √52 to the nearest whole number
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We're given an arithmetic sequence that starts with
and a common difference between terms of
. Recursively, this sequence is given by
We can find an explicit formula for the -th term
:
and so on, with the general pattern of
We're given that the sum of the first consecutive terms is
Recall that
So we solve for :
(there are two solutions, but only one is a positive integer)