A garden walkway is built by arranging rectangular slabs end-to-end so that their…

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

A garden walkway is built by arranging 2020 rectangular slabs end-to-end so that their lengths form an arithmetic progression. The total length of the walkway is 15 m15\,\text{m} and the last slab is 1.2 m1.2\,\text{m} long. (i) Calculate the length of the first slab. (ii) Determine the increase in length between successive slabs. (iii) How many of the 2020 slabs have a length of at least 1 m1\,\text{m}?

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