A trainee receives ₹5000 in the first month of her internship

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A trainee receives ₹5000 in the first month of her internship. Her monthly stipend increases by a fixed amount, forming an arithmetic progression. The average stipend over the first kk months is ₹7000, while the average over the first 2k2k months is ₹10000. Determine (i) the value of kk and (ii) the monthly increment in stipend.

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