Question 1165705
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First term of the AP is 23;  the common difference is 13.


You want to find the minimal integer "n" such that


    23 + 13*(n-1) >= 200000.


Then  n-1 >= {{{(200000-23)/13}}} = 15382.85;  hence, n = 15383 + 1 = 15384.      <U>ANSWER</U>


<U>CHECK</U>.  23 + 13*(15384-1) = 200002.     ! Ok !
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Solved, answered and explained.