In an arithmetic progression the 7th term is 31 and the 19th term is 79
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
In an arithmetic progression the 7th term is 31 and the 19th term is 79. Answer the following:
(i) Determine the first term a and the common difference d.
(ii) Find the 35th term of the progression.
(iii) Calculate the sum of the first 35 terms.