Answer the following questions about arithmetic progressions (A.P.):
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Answer the following questions about arithmetic progressions (A.P.):
(i) State what is meant by an arithmetic progression and define the common difference.
(ii) For the sequence 7, 10, 13, 16, \ldots\,, identify the first term and the common difference, and obtain an expression for its nth term.
(iii) Give one example of an A.P. with a negative common difference and briefly explain why the common difference in your example is negative.