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General and Middle Terms in Binomial Expansion Video Lecture | Mathematics (Maths) Class 11 - Commerce
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FAQs on General and Middle Terms in Binomial Expansion Video Lecture - Mathematics (Maths) Class 11 - Commerce
| 1. What is a binomial expansion? |  |
Ans. A binomial expansion refers to the process of expanding a binomial expression raised to a positive integer exponent. It involves finding the coefficients of the various terms in the expansion.
| 2. What are general terms in a binomial expansion? | |
Ans. General terms in a binomial expansion are the terms that represent each individual component in the expansion. These terms consist of a coefficient, a variable raised to a power, and possibly a constant term.
| 3. What are middle terms in a binomial expansion? | |
Ans. Middle terms in a binomial expansion are the terms that appear in the middle of the expansion. They are the terms that have a power of the variable that is neither the smallest nor the largest power in the expansion.
| 4. How do you find the general term in a binomial expansion? | |
Ans. To find the general term in a binomial expansion, you can use the formula:
General Term = (nCk) * (a^(n-k)) * (b^k)
where n is the power to which the binomial is raised, k represents the specific term number, a and b are the coefficients of the binomial, and (nCk) represents the combination of n and k.
| 5. How can you identify the middle term in a binomial expansion? | |
Ans. The middle term in a binomial expansion can be identified using the formula:
Middle Term = (n+1) / 2
where n is the power to which the binomial is raised. If the value of (n+1) is odd, then the term number obtained from the formula will give the position of the middle term. If (n+1) is even, then there will be two middle terms.
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Nov 17, 2024 Last updated |
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