File Name: sequences and series formula sheet .zip
The formulas are organized in a graphing organizer. There are two graphing organizers on the sheet, meant to be cut in half.
Infinite Sequence. Arithmetic Sequence or Progression. General term of Arithmetic Progression. Arithmetic Mean. Geometric Mean.
In JEE Main, JEE Advanced and other engineering entrances exams it is important for the candidate to remember all the important series and progressions. Thus, it is recommended that a serious candidate has a clear understanding of sequences and series. Arithmetic Progression AP is defined as a series in which a difference between any two consecutive terms is constant throughout the series. This constant difference is called the common difference. GP is defined as a series in which ration between any two consecutive terms is constant throughout the series. This constant is called the common ratio. If a is the first term and r is the common ratio, then a GP can be written as a, ar, ar 2 , ar 3 ,………ar n.
The series of a sequence is the sum of the sequence to a certain number of terms. It is often written as S n. So if the sequence is 2, 4, 6, 8, 10, The Greek capital sigma, written S, is usually used to represent the sum of a sequence. This is best explained using an example:.
Math 2 Final Exam – Formula Sheet. Arithmetic Sequences/Series. Geometric Sequences/Series. Binomial Theorem Formula. Conic Sections. Ellipse.
Sequence A succession of numbers arranged in a definite order according to a given certain rule is called sequence. A sequence is either finite or infinite depending upon the number of terms in a sequence. Progression A sequence whose terms follow certain patterns are more often called progression. Arithmetic Progression AP A sequence in which the difference of two consecutive terms is constant, is called Arithmetic progression AP. If a constant is added or subtracted from each term of an AR then the resulting sequence is an AP with same common difference.
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