Class 11 Mathematics Chapter 07 Binomial Theorem: NCERT Study Material
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8.1.3 Some important observations
1. The total number of terms in the binomial expansion of (a + b)n is n + 1, i.e. one more than the exponent n.
2. In the expansion, the first term is raised to the power of the binomial and in each subsequent terms the power of a reduces by one with simultaneous increase in the power of b by one, till power of b becomes equal to the power of binomial, i.e., the power of a is n in the first term, (n – 1) in the second term and so on ending with zero in the last term. At the same time power of b is 0 in the first term, 1 in the second term and 2 in the third term and so on, ending with n in the last term.
3. In any term the sum of the indices (exponents) of ‘a’ and ‘b’ is equal to n (i.e., the power of the binomial).
4. The coefficients in the expansion follow a certain pattern known as pascal’s triangle.
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Chapter 07 Binomial Theorem Digital Textbook & Resources for Class 11 Mathematics
Class 11 Mathematics Chapter 07 Binomial Theorem Official E-Book
Access the official NCERT Textbook for Class 11 Mathematics Chapter 07 Binomial Theorem, updated for the current academic session. Recognized as the core reading material across schools nationwide, board evaluations rely entirely on this syllabus.
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