The number of seats in the rows of a school auditorium form an arithmetic progression

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

The number of seats in the rows of a school auditorium form an arithmetic progression. The first row contains 3030 seats and each subsequent row has 22 more seats than the preceding one. (i) Which row contains exactly 8080 seats? (ii) The auditorium has 4040 rows in all. Does any row contain exactly 120120 seats? Give reasons for your answer. (iii) Determine the number of seats in the last row.

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