An employee receives an annual bonus that forms an arithmetic progression: she got Rs…

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

An employee receives an annual bonus that forms an arithmetic progression: she got Rs 5000 in the first year, and every year the bonus increases by Rs 750. Will she ever receive a bonus of Rs 13000, and if yes, in which year? (a) 12th year12^{\text{th}}\ \text{year} (b) 11th year11^{\text{th}}\ \text{year} (c) She will never receive exactly Rs 1300013000 (d) 14th year14^{\text{th}}\ \text{year}

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