The first term of an arithmetic progression is 5 and its last term is 47
MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
The first term of an arithmetic progression is 5 and its last term is 47. The sum of all its terms is 208.
(i) Let the number of terms be n and the common difference be d. Write two independent equations connecting n and d with the given numerical data.
(ii) Hence determine the values of n and d.
(iii) Using your answers, list all the terms of the progression.