Two distinct terms of an arithmetic progression are sufficient to determine the…

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

Problem

Two distinct terms of an arithmetic progression are sufficient to determine the entire progression. (a) Explain briefly why the statement above is true. (b) For an arithmetic progression whose third term is 7 and eleventh term is 39, find the first term and the common difference. (c) Write the first five terms of this progression.

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