A small town recorded a population of on 1 January 2024

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

Problem

A small town recorded a population of 42 00042\,000 on 1 January 2024. Every year, the population grows by exactly 1 5001\,500 residents, with no other changes. Work with the information given to answer the following. (i) What will be the town’s population on 1 January 2039? (ii) How many residents in total will have been added to the town during the 15-year period from 1 January 2024 to 1 January 2039 (inclusive)? (iii) In which calendar year will the population first reach or surpass 60 00060\,000?

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