In an arithmetic progression

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

Problem

In an arithmetic progression, the 12th term is 35 and the 25th term is 78. (i) Find the first term and the common difference of the progression. (ii) Write the expression for the nnth term using the results of part (i). (iii) Using your expression, determine the 50th term of the progression.

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