Mathematics

Mathematics

Problem

The first row of an open-air theatre has 20 seats and each succeeding row has 2 more seats than the previous one. The management wants to reserve a consecutive set of rows starting with the kkth row and ending with the mmth row (where m>km>k) such that: a. Part 1: (i) the total number of seats in these reserved rows is 420, b. Part 2: (ii) the last of the reserved rows has exactly 15 more seats than the first reserved row. c. Part 3: Find the values of kk and mm, and state the number of seats in each of the reserved rows.

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