CBSE Class 10 Mathematics – Arithmetic Progressions

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Study Materials

10th

10th - Mathematics

Arithmetic Progressions

Chapter Overview

This chapter introduces Arithmetic Progressions (A.P.) — sequences of numbers with a constant difference between consecutive terms. Students learn to identify A.P.s, derive formulas for the nth term and sum of the first n terms, and apply these concepts to solve real-world problems involving patterns and regular increments.

Important Keywords

  • Arithmetic Progression (A.P.): A sequence where each term differs from the previous one by a fixed number.
  • Common Difference (d): The constant difference between consecutive terms in an A.P.
  • First Term (a): The initial term of the A.P.
  • nth Term (Tn): The term at position n in the A.P.
  • Sum of n terms (Sn): The total of the first n terms in the sequence.

Detailed Notes

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