Class 10 Maths Chapter 5 Arithmetic Progressions Notes & NCERT Solutions

Arithmetic Progression Overview: An Arithmetic Progression is a sequence where the difference between consecutive terms remains constant. Key formulas include the nth term aₙ = a + (n-1)d and the sum of n terms Sₙ = n/2[2a + (n-1)d].

Arithmetic progressions — complete guide

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Common difference nth term Applications Sum formula Advanced

Nth Term of an AP (An Formula & Examples)

Sum of First N Terms of an AP (Sn Formulas)

Class 10 Arithmetic Progressions Important Solved Questions

Term	Formula
nth Term	aₙ = a + (n-1)d
Sum of n terms	Sₙ = n/2[2a + (n-1)d]
Common Difference	d = a₂ - a₁

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First term (a) 2

Common diff (d) 3

No. of terms (n) 10

nth term (aₙ)

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a+(n−1)d

Sum Sₙ

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(n/2)[2a+(n−1)d]

AP type

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Average term

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(a + aₙ) / 2

Term value (bars) Cumulative sum Sₙ (dashed line)

AP terms and cumulative sum.

nth term expanded

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Sum expanded

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Sequence terms (last term highlighted)

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