The chapter “Arithmetic Progressions (AP)” in the UP Board Class 10 Maths Book introduces students to sequences where the difference between consecutive terms remains constant. It explains how to identify the first term (a) and common difference (d), and how to calculate the nth term (an = a + (n–1)d) and sum of n terms (Sn = n/2[2a + (n–1)d]).
Through examples and real-life applications, students learn how arithmetic patterns appear in daily situations like savings, salaries, and distances.
This chapter builds analytical and logical reasoning skills, making it an essential part of the Class 10 Mathematics syllabus and vital for scoring well in board examinations.