A runner records the following distances in an arithmetic progression during a…

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A runner records the following distances in an arithmetic progression during a fitness programme: on the 3rd day he runs 150 m150\text{ m} and on the 8th day he runs 225 m225\text{ m}. (i) Calculate the distance he ran on the 1st day. (ii) How far will he run on the 15th day if he keeps following the same pattern?

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