Class 11 Mathematics — Chapter 8: SEQUENCES AND SERIES

What you'll learn

• ▸Introduction to Sequences
• ▸Series and Sigma Notation
• ▸Recurrence Relations
• ▸Geometric Progression (G.P.) Definition
• ▸General Term (nth Term) of a G.P.
• ▸Sum of the First n Terms of a G.P.
• ▸Problem Solving with G.P. Formulas

Chapter Summary

--- PAGE 1 --- Chapter 8 SEQUENCES AND SERIES ❖Natural numbers are the product of human spirit. – DEDEKIND❖ 8.1 Introduction In mathematics, the word, “sequence” is used in much the same way as it is in ordinary English. When we say that a collection of objects is listed in a sequence, we usually mean that the collection is ordered in such a way that it has an identified first member, second member, third member and so on. For example, population of human beings or bacteria at different times form a sequence. The amount of money deposited in a bank, over a number of years form a sequence. Depreciated values of certain commodity occur in a sequence. Sequences have important applications in several spheres of human activities. Fibonacci (1175-1250) Sequences, following specific patterns are called progressions. In previous class, we have studied about arithmetic progression …

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Explain the Fibonacci sequence simply. Get Solution →
2. Give a real-world example of a series. Get Solution →
3. Show sequence patterns in nature. Get Solution →
4. According to the text, what are sequences that follow specific patterns called? Get Solution →
5. What is a sequence containing a finite number of terms called? Get Solution →
6. The expression a₁ + a₂ + a₃ + ... + aₙ, which is the indicated sum of the terms of a sequence, is called a what? Get Solution →
7. What is the general formula for the nᵗʰ term of a geometric progression (G.P.) with first term 'a' and common ratio 'r'? Get Solution →
8. A sequence is called a geometric progression (G.P.) if the ratio of any term to its immediately preceding term is what? Get Solution →

Did you know?

• 💡 The Fibonacci sequence appears in the spirals of sunflower seeds.
• 💡 Every snowflake is a unique, repeating pattern, a natural sequence.
• 💡 The number system we use today, with place values, came from India.
• 💡 Prime numbers are like mathematical "atoms" because they can only be divided by one and themselves.
• 💡 Scientists use sequences to model how a virus spreads through a population.

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