In how many rows will 200 Miranda bottles be placed, if 200 Miranda bottles are stacked in such a way that there are 20 bottles in the bottom, 19 in the next row, 18 in the row next and so on?
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Answer Posted / Sudershan Singh
This is a geometric series with an initial term (a_1) of 20 and a common difference (d) of -1. The number of terms required to reach 200 bottles can be found by setting the sum of the first n terms equal to 200: (20 + 19 + ... + 1) = 200. Solving for n gives us n = 38 rows.
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