algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular is called the “Father of Geometry".

An  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular means a series of methodical step-by-step procedure of calculating successively on the results of earlier steps till the desired answer is obtained.

Every composite number can be written uniquely as the product of power of primes” is called  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular of Arithmetic.

A real valued  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular is a function defined on the set of natural numbers and taking real values.

Each element in the sequence is called a  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular of the sequence.

The element in the first position is called the  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular of the sequence.

The element in the second position is called  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular of the sequence.

If the number of elements in a sequence is finite then it is called a  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

If the number of elements in a sequence is infinite then it is called an  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

Let a and d be real numbers. Then the numbers of the form a, a + d, a+ 2d ,a + 3d , a + 4d , ... is said to form  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular .

The difference between any two consecutive terms of an A.P is always constant.That constant value is called the  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

If there are finite numbers of terms in an A.P. then it is called  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

If there are infinitely many terms in an A.P then it is called  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

An Arithmetic progression having a common difference of zero is called a  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

A series whose terms are in Arithmetic progression is called  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

A  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular Progression is a sequence in which each term is obtained by multiplying a fixed non-zero number to the preceding term except the first term.

There are some series whose sum can be expressed by explicit formulae. Such series are called  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

The sum of first n natural numbers are also called  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular Numbers .

The sum of squares of first n natural numbers are also called Square  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular Numbers .

The sum of first n odd natural numbers is always an  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.

The sum of consecutive even numbers is always an  algorithmArithmetic ProgressionArithmetic seriescommon differenceconstant arithmetic progressionEuclideven numberFinite Arithmetic ProgressionFinite sequencefirst termFundamental TheoremGeometricInfinite Arithmetic ProgressionInfinite sequenceodd numberPyramidalsecond termsequencespecial seriestermTriangular.