### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Pascal’s triangle

The Coefficient with binomial expansion can be arranged in the following triangle pattern named after Blaise Pascal.

General term:

If are the terms in the expansion of then the term is called the General term.

Equidistant Term:

It can be verified that term form the beginning and the term form the end which  is equal to the term from the beginning

Since , the coefficients of the equidistant terms from the beginning and end are equal.

Middle Term:

In the binomial expansion of there are terms. Thus, there is only one middle term is even and there are two middle term if is odd.

(i) Let be even say Then the middle term is equal to

i.e.,

(ii) Let be odd say , then

i.e.,

i.e.,

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