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Binomial Theoram

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Binomial Theoram
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  Infinite and Finite Sequences An infinite sequence is a function whose domain is the set of natural numbers {1, 2, 3, 4 ,…}. An  finite sequence is a function whose domain is the set of natural numbers {1, 2, 3, 4  ,…, n }, where n is some natural number. 2, 4, 8, 16, 32,… terms 2, 4, 6, 8, …, 98, 100  general term  Terms of a Sequences Because a sequence is a function, it may be described as f  ( n ) = a n = 2 n , where n is a natural number. Example: Write the first three terms of the sequence whose general term is given by a n = n 3 + 1. a 1 = 1 3 + 1 = 1 + 1 = 2Replace n with 1. a 2 = 2 3 + 1 = 8 + 1 = 9Replace n with 2. a 3 = 3 3 + 1 = 27 + 1 = 28Replace n with 3.The first three terms are 2, 9, 28, and 65.
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