Arithmetic Progressions — Formula Sheet
Karnataka Board · Class 10 · Mathematics
4 formulas from Arithmetic Progressions (Karnataka Board Class 10 Mathematics) on one page, grouped by topic. Includes Formula derivation and Formula.
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Formulas and Key Relations
Definition and Identification of Arithmetic Progressions
Common difference (d) = a₂ - a₁ = a₃ - a₂ = ... = aₙ - aₙ₋₁
nth Term Formula and Applications
Formula derivation
a₁ = a, a₂ = a+d, a₃ = a+2d, ..., aₙ = a+(n-1)d
Key relations
Formula
d = aₖ₊₁ - aₖ.
If three numbers a, b, c are in AP, then b = (a+c)/2 (b is arithmetic mean).
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Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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