Mathematics

Mathematics

Problem

A gardener arranges flower pots in successive rows so that each row contains exactly two more pots than the previous one. The first row has 3 pots. (i) Obtain, in terms of nn, an expression for the total number of pots that will be placed in the first nn rows. (ii) If the gardener has altogether 135 pots, find the number of rows he will be able to complete.

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