An arithmetic progression has first term and common difference .
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
An arithmetic progression has first term 50 and common difference −3.
(i) Determine the term number at which the value −10 occurs, if it exists.
(ii) Justify whether the value −10 actually appears in the progression.
(iii) Find the number of terms in the progression that are strictly positive.