Arithmetic Sequences and Algebra — Formula Sheet
Kerala Board · Class 10 · Mathematics
5 formulas from Arithmetic Sequences and Algebra (Kerala Board Class 10 Mathematics) on one page, grouped by topic.
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Formulas and Key Relations
Special Sequences and Applications
Sum of first n odd numbers = n²
Sum of first n even numbers = n(n+1)
Key relations
The sum of first n natural numbers is given by
1 + 2 + 3 + ... + n = n(n+1)/2.
For sequence xₙ = an + b, sum of first n terms = ½an(n+1) + nb.
Alternative method
Sum = ½ × number of terms × (first term + last term).
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- 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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