General Term and Middle Term
What is the formula for middle term?
Formula to find middle term of series is:
- {(n + 1)/2}th term when n is odd
- {(n/2)th + (n/2 + 1)th term}/2 if n is even
What is the general term in binomial?
General term of Bionomial expansion is: T(r + 1) = nCran-rbr
What is the middle term of odd?
Middile term of the series when total number of terms are odd is
- {(n + 1)/2}th term
General and Middle Terms – Binomial Theorem – Class 11 Maths
Binomial theorem or expansion describes the algebraic expansion of powers of a binomial. According to this theorem, it is possible to expand the polynomial “(a + b)n“ into a sum involving terms of the form “axzyc“, the exponents z and c are non-negative integers where z + c = n, and the coefficient of each term is a positive integer depending on the values of n and b.
Example: If n = 4
(a + b)4 = a4 + 4a3y + 6a2b2 + 4ab3 + b
Table of Content
- General Term of Binomial Expansion
- Sample Problems on General Term
- Middle Term of Binomial Expansion
- Sample Problems on Middle Terms
- Examples on Middle Terms
- FAQs on General Term and Middle Term
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