Class XI Mathematics
Chapter 7: Binomial Theorem
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Syllabus Sections
Key Formulas & Equations
Click Copy to duplicateBinomial Theorem
(a+b)^n = \sum_{r=0}^{n} ^nC_r a^{n-r} b^r
Expands binomial to the n-th power.
General Term of Expansion
T_{r+1} = ^nC_r a^{n-r} b^r
Calculates the (r+1)th term of binomial expansion.
Related Formulas from Adjacent Chapters
Permutations nPr
^nP_r = \frac{n!}{(n-r)!}
[From Permutations and Combinations] Arrangements of n items taken r at a time.
Combinations nCr
^nC_r = \frac{n!}{r!(n-r)!}
[From Permutations and Combinations] Selections of n items taken r at a time.
Sum of GP
S_n = \frac{a(r^n - 1)}{r - 1}
[From Sequences and Series] Sum of first n terms of a GP with common ratio r.