📘 Chapter 5: Arithmetic Progressions – Class 10 Maths Notes

 

📘 Chapter 5: Arithmetic Progressions – Class 10 Maths Notes

🔍 What is an Arithmetic Progression (AP)?

An Arithmetic Progression (AP) is a sequence where the difference between consecutive terms is constant.

Examples:
2, 4, 6, 8, 10...
10, 7, 4, 1, -2...

📌 General Form of an AP

a, a + d, a + 2d, a + 3d, ..., a + (n - 1)d
Where:
- a = first term
- d = common difference
- n = number of terms
- aₙ = nth term

✨ Formulas to Remember

• nth term: aₙ = a + (n - 1)d
• Sum of n terms: Sₙ = n/2 [2a + (n - 1)d] or Sₙ = n/2 (a + l)

🧠 Important Concepts

• Increasing AP: d > 0
• Decreasing AP: d < 0
• Constant AP: d = 0

✅ Key Points to Remember

• Check for common difference to confirm AP
• Use formulas for nth term and sum

📥 Download Chapter 5 PDF: Click here

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