Arithmetic Sequences
Kerala Board · Class 10 · Mathematics
Complete topic list for Arithmetic Sequences in Kerala Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Arithmetic Sequences
Introduction to Number Sequences and Arithmetic Sequences
- A number sequence is a collection of numbers arranged in a specific order according to some rule
- Examples include natural numbers (1, 2, 3, ...), even numbers (2, 4, 6, ...), odd numbers (1, 3, 5, ...)
- An arithmetic sequence is formed by starting with a number and adding the same number repeatedly
Finding Terms Using Position and Common Difference
- If we know any term and its position, we can find other terms using the common difference
- To find a term ahead: add common difference × number of positions ahead
- To find a term behind: subtract common difference × number of positions behind
Finding Terms from Two Given Terms
- When two terms and their positions are given, first find the common difference
- Common difference = (Term difference) ÷ (Position difference)
- Once d is found, any other term can be calculated
Checking if a Number is a Term of an Arithmetic Sequence
- To check if a number N is a term of an arithmetic sequence, calculate (N - first term) ÷ d
- If the result is a whole number, then N is a term at that position + 1
- If the result is not a whole number, then N is not a term of the sequence
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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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