In an arithmetic progression

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

Problem

In an arithmetic progression, the 12th term is 37 and the 25th term is 79. (i) Determine the first term and the common difference. (ii) Calculate the 60th term. (iii) Find the smallest positive integer nn for which the nnth term is exactly 487. Justify your answer with appropriate calculations.

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