Sequences

A sequence is a function whose domain is either all the integers between two given integers or all the integers greater than or equal to a given integer.

am, am + 1, am + 2, … , an,

ak (read “a sub k”) is called a term.

k in ak is called a subscript or index

am, am + 1, am + 2, … = infinite sequence

k = m에서 k=n까지의 summation의 표현

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Successive Cancellation of terms

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Product Notation

pi 기호를 사용해서 m부터 n까지의 곱을 표현한다.

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Factorial

n factorial denoted n! is defined to be the product of all the integers from 1 to n

n! = n(n-1)…32*1

Zero factorial 0! = 1

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n coose r notation