The  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle is an arrangement of the numbers nCr in a triangular form.

If X is any set and n ∈ N, then any function f : {1, 2, 3,...,n} → X is called a  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle.

If the set X happens to be a set of real numbers, the sequence is called a  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle.

f the number of elements in a sequence is infinite then it is called an  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle.

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  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle .

The difference between any two consecutive terms of an A.P is always constant.That constant value is called the  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle.

A  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle is a sequence in which each term is obtained by multiplying a fixed non-zero number to the preceding term except the first term.

A sequence of the form a, (a + d)r, (a + 2d)r², (a + 3d)r³, ..., (a + (n − 1)d)rⁿ⁻¹, (a + nd)rⁿ, ... is called an  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle progression.

A sequence h1, h2, h3,... is said to a  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle progression if 1/h1 , 1/h2 , 1/h3 , 1/h4 ,... is an arithmetic sequence.

Let n be any positive integer. Let a1, a2, a3,...,an be n numbers . Then the number (a1 + a2 + a3 + ··· + an)/n is called the  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle of the numbers a1, a2, a3,...,an.

Let n be any positive integer. Let a1, a2, a3,...,an be n non-negative numbers. Then the number ⁿ√(a1a2a3 ...an) is called the  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle of the numbers a1, a2, a3,...,an.

For any set of n non-negative numbers, the  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle is greater than or equal to the geometric mean.

If (an) is a sequence of numbers, then the expression a1 + a2 + ··· + an is called a  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle.

The  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle sequence is a sequence of numbers where a number other than first two terms, is found by adding up the two numbers before it.

If (an) is an infinite sequence of numbers, then the formal expression a1+a2+··· is called an  arithmetic meanArithmetic Progressionarithmetico-geometriccommon differenceFibonaccifinite sequencefinite seriesgeometric meanGeometric ProgressionharmonicInfinite sequenceinfinite seriesnumerical sequencePascal triangle.