General term of sequence is calculate by pattern of sequence as common ratio or  common difference.  Hence we can identify sequence Arithmetic or geometric by common ratio or common difference. Series when terms are in addition. Therefore common ratio of series  is less than 1 then geometric series is called convergent series . Binomial expansion is expansion of two terms . Binomial Theorem is general term of expansion. The coefficients of the each terms is the calculated by  nCr as well as by pascal triangle.

 

Binomial and Sequence

binomial and squence