Sequences and Series — Syllabus
ICSE · Class 11 · Mathematics
What Sequences and Series covers in ICSE Class 11 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 11 Mathematics syllabus.
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Topics in Sequences and Series
1. Sequence, Progression, and Series
- A sequence is an ordered list of numbers.
- A sequence of real numbers is a function whose domain is a subset of natural numbers and whose range is a subset of real numbers.
- The numbers in a sequence are called terms.
2. Fibonacci Sequence and Recursive Relation
- A recursive relation is a relation in which the nth term depends on previous term(s).
- The Fibonacci sequence starts with 1, 1 and then each term is the sum of the previous two terms.
- The Fibonacci sequence is named after Leonard Fibonacci.
3. Arithmetic Progression and Arithmetic Mean
- An arithmetic progression is a progression in which the difference between consecutive terms is constant.
- That constant is called the common difference.
- If a, b, c are in A.P., then a + c = 2b.
4. Geometric Progression and Geometric Mean
- A geometric progression is a progression in which the ratio of consecutive terms is constant.
- That constant is called the common ratio.
- If a, b, c are in G.P., then ac = b^2.
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Central concept: Sequences and Series
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